Algebra 1 – Unit 3 · Algebra 1 – Unit 3 Monday Tuesday Wednesday Thursday Friday Oct. 13 14 A Day 15 B Day 16 A Day 17 B Day Professional Development Day Discretionary Day –

Algebra 1 – Unit 3

Monday Tuesday Wednesday Thursday Friday

Oct. 13 14 A Day 15 B Day 16 A Day 17 B Day

Professional

Development Day

Discretionary Day

– teachers can review

or begin slope

PSAT Day

9-11th

Slope 5E Lesson

-from a table, ordered pairs, equations,

verbal

20 A Day 21 B Day 22 A Day 23 B Day 24 A Day

X and Y intercepts *NEW 5E Lesson

Graphing Linear Equations - Day 1

*NEW 5E Lesson

-use y = and f(x)=

-from slope-intercept (solve for y and graph)

-from standard form (x and y intercepts)

Graphing Linear- Day 2

5E Lesson

-transformations

including function

notation for specific a,

b, c, and d values

27 B Day 28 A Day 29 B Day 30 A Day 31 B Day Graphing Linear -Day 2

5E Lesson

-transformations

Reasonable Domain and Range

-applications

-attributes (intercepts, slope)

Test – Slope, Intercepts, and

Graphing Lines

Nov 3 A Day 4 B Day 5 A Day 6 B Day 7 A Day Writing Equations - Day 1 *NEW 5E Lesson

(pick and choose from both 5Es to make

your lesson)

-given m and b

-point/slope

-given 2 points

-from a table

Writing Equations - Day 2 *NEW 5E Lesson

-verbal

-go between forms

Scatterplots

-regression

-correlation

coefficient

*New Lesson

10 B Day 11 A Day 12 B Day 13 A Day 14 B Day Scatterplots

-regression

-correlation

coefficient

*New Lesson

Parallel & Perpendicular Lines – Day 1

5E Lesson

-use graphs to compare

-write parallel and perpendicular lines

-include horizontal and vertical

-parallel and perpendicular with respect to

the x & y axis (new)

Parallel & Perpendicular Lines – Day 2

17 A Day 18 B Day 19 A Day 20 B Day 21 A Day Elaboration day

Test – CBA #3

One Variable

Inequalities

5E Lesson

1

2

Two Points Table Graph Given one of

these:

Slope formula: First Differences:

Vertical Change/

Horizontal Change:

Slope-Intercept Form:

Point-Slope Form:

Standard Form:

Process:

Process:

Process:

3 Forms Flowchart:

Question:

Can you find

the y-intercept?

3

Examples:

Write an equation in slope intercept form that goes through the following points:

1) (1, 7) and (2, 9) 2) (-3, 6) and (1, -4) 3) (- 2, 4) and (0, 6)

Plug m, x, & y into equation! (y = mx + b)

Solve for Slope! (m) Pick a Point! (x , y)

State final slope intercept form equation:

(y = mx + b)

Don’t forget to plug m & b in!

Writing an Equation when Given Two Points

Solve for b!

4

Explain: Write Equations of a line given a point and a slope

I. Remember the three versions of an equation for any line. Notice the special

characteristics of each:

Ax + By = C y = mx + b y – y1 = m (x – x1)

If we know one point on the line and we know its slope, we can write the equation that defines the line:

1st: Which formula should we use?

2nd: Plug in what you know!

II. Try these: Write the equation for each line described below in the form specified.

1. through (-4, 5), slope = 3 (slope intercept form) 2. m = -4 b = 11 (slope intercept form)

3. through (1,- 4), slope = -5 (standard form) 4. through (-2, -10), slope = -6

1

(slope intercept form)

5. y-intercept = -6, slope = -3 (slope intercept form) 6. Through (-5, 3) with a zero slope. (slope intercept form)

What was different about #5? Can you do this every time?

7. through (0, 5), m = 7 (slope intercept form) 8. through (4, 3) with an undefined slope.

5

III. Write the equations for the following graphs

Slope: ____________ y-intercept: ______________

Equation: ___________________________________

Slope: ____________ y-intercept: ______________

Equation: ___________________________________

IV. Given the following information, write an equation: (1, 3) slope: 2

Point-Slope Form Slope-Intercept Form Standard Form

6

Writing Equations of Lines 1. Write the equation of each line in slope intercept form.

a. b. c. d. 2. Write an equation in slope intercept form of the line that passes through the given

points.

a. (-4, 5) and (-2, -1) b. (1, -7) and (5, 1) 3. Write the equation in slope intercept form of the line that passes through the given

point and has the given slope.

a. (-2, -8); m = 3 b. (2, 3); slope = 2

1

Name Date

7

4. A landscape supply business charges $30 to deliver mulch. The mulch costs $23 per cubic yard.

a. Write an equation that gives the total cost (in dollars) of having mulch delivered to a site as a function of the number of cubic yards ordered.

b. Identify the independent and dependent variables in this situation.

c. Find the cost of having 8 cubic yards of mulch delivered to a site. 5. A cable company charges $44 per month for basic service. Each premium channel costs

an additional $16 per month.

a. Write an equation that gives the total cost (in dollars) of cable each month as a function of the number of premium channels.

b. Identify the independent and dependent variables in this situation.

c. Approximate how many premium channels you can have for $80 a month. 6. Write an equation for the linear function f with the given values. a. f(0) = 3, f(4) = 19 b. f(2) = -6, f(12) = 4

8

Explore

Subject, Unit, Lesson Title 6/11/2013

16

Partner Practice

1. Brett bought x adult tickets at $5 each and y children tickets at $2 each. He spent $60 total.

Write the equation

Solve for y

2. You are playing Skee-ball. You make y balls in the 40 point ring and x balls in the 50 point ring.

Your total score was 400.

Write the equation

Solve for y

9

10

Explore


18

Group Practice

1. � =�

�� + 6

Choose the number to multiply all terms by

in order to clear the fractions

Multiply through to clear the fractions

Get the variable on the same side

Make sure A is positive

2. � =

� − 4

Choose the number to multiply all terms by in

order to clear the fractions




11

Explore


19

3. � = −

� − 1

Choose the number to multiply all terms by

in order to clear the fractions




4. � =�

�� + 3

Choose the number to multiply all terms by in

order to clear the fractions




12

Algebra I Name __________________ Solving for y with Word Problems Period ______________ 1. -3x + y = -10 2. 5x + y = 1 3. y – 4 = -3 (x + 2) 4. 6x – 3y = -12 5. -8x – 4y = 24

6. 2x + 4y = -20 7. y - 3 = 5 (x - 2) 8. y + 3 = - (x – 10) 9. -6x – 3y = -36 + 3x 10. 2(y – 3x) = 3(5 – 2x)

11. Marcia bought x pairs of jeans and y shirts for $170. Write an equation to represent this situation. Then, solve for y. Equation: ____________________ y = ____________________ 12. Brett bought x adult tickets at $5 each and y children tickets at $2 each. He spent $60 total. Write an equation to represent this situation. Then, solve for y. Equation: ____________________ y = ____________________

13

13. Mary has x dimes and y quarters with a total value of $15.10. Write an equation to represent this situation. Then, solve for y. Equation: ____________________ y = ____________________ 14. You are calculating your score in a game of Boggle. Three and four letter words are worth 1 point each and five letter words are worth 2 points each. Your list has x three/four letter words and y five letter words. Your score is 31. Write an equation to represent this situation. Then, solve for y. Equation: ____________________ y = ____________________ 15. For a fundraiser you sell x candles for $6 each and y rolls of wrapping paper for $10 each. You sold a total of $324. Write an equation to represent this situation. Then, solve for y. Equation: ____________________ y = ____________________ 16. Touchdowns are worth six points each and field goals are worth 1 point each. Your team scored x touchdowns and y field goals for a total score of 35 points. Write an equation to represent this situation. Then, solve for y. Equation: ____________________ y = ____________________ 17. You are playing Skee-ball. You make x balls in the 40 point ring and y balls in the 50 point ring. Your total score was 400. Write an equation to represent this situation. Then, solve for y. Equation: ____________________ y = ____________________ 18. Five less than the product of 4 and x plus three times y is equivalent to four times the sum of x and y. Write the equation. Then, solve for y. Equation: ____________________ y = ____________________

14

Writing Equations of Lines Write an equation of the line that has a slope of 3 and a y-intercept of 6.

Equation: SHOW YOUR WORK!

Write an equation of the line that has a slope of -2 and a y-intercept of 4.


Write an equation of the line that has a slope of 5 and a y-intercept of -1.


Write an equation of the line that has a slope of -1 and a y-intercept of -3.


15

Writing Equations of Lines Write an equation of the line that has a slope of 5 and a y-intercept of -3.


Write an equation of the line with a slope of 2 that passes through (3, 8).


Write an equation of the line with a slope of -4 that passes through (-1, 5).


Write an equation of the line with a slope of -4 that passes through (2, 7).


16

Writing Equations of Lines Write an equation of the line with a slope of 2 that passes through (-1, -4).


Write an equation of the line with a slope of -1 that passes through (4, -2).


Write an equation of the line that passes through (-4, -5) and (-6, 5).


Write an equation of the line that passes through (2, 4) and (5, 13).


17

Writing Equations of Lines Write an equation of the line that passes through (1, -2) and (-2, 13).


Write an equation of the line that passes through (1, -2) and (-2, 4).


Write an equation of the line that passes through (3, 9) and (-7, 4).


18

Writing Linear Equations

• slope-intercept form of a line:

• point-slope form of a line:

Write the equation of each line.

1. 2. 3.

Write the equation of the line that passes through the given point and has the given slope.

4. (4, 5), m is undefined 5. (-1, 4), m = -4 6. (-2, 6), m = 0

7. Marcia bought x pairs of jeans and y shirts for $170. Write an equation to represent this

situation. Then, find the number of shirts Marcia bought in terms of the pairs of jeans she

bought.

8. Brett bought x adult tickets at $15 each and y children tickets at $10 each. He spent $115 total.

Write an equation to represent this situation. Then, find the number of children tickets Brett

bought in terms of the number of adult tickets he bought.

Name Date

19

9. For a fundraiser you sell x candles for $6 each and y rolls of wrapping paper for $10 each. You

sold a total of $324. Write an equation to represent this situation. Then, find the number of rolls

of wrapping paper you sell in terms of the number of candles you sell.

10. At a speed of 45 yards per minute, a 120 pound swimmer burns 450 calories per hour and a 170

pound swimmer burns 600 calories per hour. Write a linear equation that models the number of

calories burned per hour as a function of a swimmer’s weight.

11. A motorist lights an emergency flare after having a flat tire. After burning for 6 minutes, the flare

is 13 inches long. After burning for 20 minutes, it is 6 inches long. Write a linear equation that

models the flare’s length as a function of time.

12. After 4 hours of snowfall, the snow depth is 8 inches. After 6 hours of snowfall, the snow depth

is 9.5 inches. Write a linear equation that models the snow depth as a function of time.

13. Ancient cities often rose in elevation through time as citizens built on top of accumulating rubble

and debris. An archaeologist at a site dates artifacts from a depth of 56 feet as 3500 years old

and artifacts from a depth of 26 feet as 2600 years old. Write a linear equation that models an

artifacts age as a function of depth.

20

Explain – Scatterplots and Correlation

• scatterplot:

• correlation coefficient:

EX1. Match the following scatterplots with the appropriate correlation coefficient

from the list. Note that not all of the correlation coefficients are used. The

viewing window is the same in all four plots.

r = -.48 r = .98 r = .82 r = -.17 r = 1 r = .17 r = -1

Find the Line of Best Fit on the Calculator

1. Enter data into lists.

2. Run a linear regression. Make sure diagnostics are on.

21

EX2. The table shows the average price of a concert ticket to one of the top 50

musical touring acts for the years 1999-2004.

Years since 1999, x 0 1 2 3 4 5

Ticket price (dollars), y 38.56 44.80 46.69 50.81 51.81 58.71

a. Write an equation that approximates the best-fitting line for the data.

b. Use the equation to predict the average price of a concert ticket in 2014.

EX3. The table shows the number of cricket chirps in a 15 second interval at various

temperatures.

Temp (°°°°F) 54 65 68 79 82 89

Chirps per 15 seconds 15 21 23 31 33 38

a. Find the regression equation.

b. Is temperature a good indicator of the number of chirps a cricket makes in

a 15 second interval? Use the correlation coefficient to justify your

answer.

c. Estimate the number of chirps in a 15 second interval at 50°F.

d. Estimate the temperature when there are 17 chirps in a 15 second

interval.

22

Elaborate – Scatterplots and Correlation

1. Fill in each Blank A line that lies as close as possible to a set of data points is called the

for the data points. The correlation coefficient, r,

measures the and of the linear

relationship between two variables.

2. A set of data pairs has correlation coefficient r = 0.1. Is it logical to use the best-fitting line to

make predictions from the data? Explain.

3. ERROR ANALYSIS The graph shows one student’s

approximations of the best-fitting line for the data in

the scatter plot. Describe and correct the error in

the student’s work.

4. The following statement contains a blunder. Explain why it is wrong.

“We found a high correlation (r = 1.09) between students’ ratings of faculty teaching and

ratings made by other faculty members.”

23

24

Evaluate – Scatterplots and Correlation Name

1. The table below shows elevation and average precipitation for selected cities:

City Elevation Avg. Precipitation

Beirut, Lebanon 111 35

London, England 149 23

Paris, France 164 22

Montreal, Canada 187 41

Algiers, Algeria 194 30

Bucharest, Romania 269 23

Warsaw, Poland 294 22

Oslo, Norway 308 27

Rome, Italy 377 30

Toronto, Canada 379 32

Budapest, Hungary 394 24

Moscow, Russia 505 25

a. Write the regression equation.

b. How many inches of rain will Dublin, Ireland receive with an elevation of 155 feet?

2. Some scientists believe that global warming is a result of carbon dioxide emissions from fuel

consumption. The table below shows world carbon dioxide emissions for 1950-90.

Year Emissions (in millions of metric tons)

1950 6,002

1955 7,511

1960 9,475

1965 11,556

1970 14,989

1975 16,961

1980 19,287

1985 19,672

1990 22,588

a. Write the regression equation.

b. What might the carbon dioxide emissions have been in 1971? be for 1999?

c. In what year did carbon dioxide emissions hit 21,000 million metric tons?

25

3. Challenge If x and y have a positive correlation and y and z have a negative correlation,

what can you say about the correlation between x and z? Explain.

4. Your classmates measure their heights and head circumferences. Some results are shown in

the table.

Height (inches) 63.1 70.1 67.7 65

Circumference (inches) 21 23.4 22.6 22

a. What is the closest estimate of the correlation coefficient for the data?

A. -1 B. -0.5 C. 0

D. 0.5 E. 1

b. If the circumference of your head is about 23 inches, determine your approximate

height.

5. Competitive Runners Good runners take more steps per second as they speed up. Here are

the average numbers of steps per second for a group of top female runners at different

speeds. The speeds are in feet per second.

Speed (ft/s) 15.86 16.88 17.50 18.62 19.97 21.06 22.11

Steps per second 3.05 3.12 3.17 3.25 3.36 3.46 3.55

a. Write the equation that best fits the data.

b. Is running speed a good indicator of steps per second? Use the correlation coefficient

to justify your answer.

26

Explore – Parallel and Perpendicular Lines

1. Graph the following equation on the

graph below.

a. xy =

b. 5+= xy

c. 10+= xy

d. 4−= xy

e. 9−= xy

What do you notice about these lines?

What do you notice about the equations?

2. Graph following equation on the graph

below.

a. xy3

2=

b. 63

2+= xy

c. 73

2−= xy

What do you notice about these lines?

What do you notice about the equations?

What conclusions can you make about parallel lines and their equations?

27

Explore – Parallel and Perpendicular Lines

3. Graph the following equations on the graph

below.

a. y = 1x3

2−

b. y = 1x2

3−−

What do you notice about the graphs?

What do you notice about the slope of equation?

4. Graph the following equations on the graph

below.

a. y = 4x4

3+

b. y = 2x3

4−−

What do you notice about the graphs?

What do you notice about the slope of equation?

What conclusions can you make about perpendicular lines and the slopes of their

equations?

28

Explain – Parallel and Perpendicular Lines

Parallel Lines

Parallel lines have the slope but y- intercepts.

Parallel lines will intersect with each other.

Example 1: Write the equation of each line.

• Line 1: y =

• Line 2: y =

*** Since both lines have a slope of , these two

lines are .

Example 2:

a) Given y = 5x – 4, write a linear equation that is parallel to the given line.

b) Given y = -3x + 9, write a linear equation that is parallel to the given line and

contains the point (-2, 4).

c) Given x = -5, write a linear equation that is parallel to the given line.

Parallel line =

This line is parallel to which axis?

Line 1 Line 2

29

Explain – Parallel and Perpendicular Lines

Perpendicular Lines

Perpendicular lines have that are reciprocals.

• Opposite = different signs (positive or negative)

• Reciprocals= flip the fraction (To make an integer a fraction, put the number over 1)

Perpendicular lines will intersect each other at a 90° angle.

Example 3: Write the equation of each line.

• Line 1: y =

• Line 2: y =

*** Since the slope of both of these lines are OPPOSITE

RECIPROCALS, these two lines are .

Example 4:

a) Given y = 7

3x, write a linear equation that is perpendicular to that line.

b) Given y = 3

2x + 2, write a linear equation that is perpendicular to that line and

contains (2, -2).

c) Given y = 2, write a linear equation that is perpendicular and state the slope.

Perpendicular line = slope:

This line is perpendicular to which axis?

This line is parallel to which axis?

30

Parallel & Perpendicular Name ________________________

Date _____________ Period ______

Complete the following. Write the letter of the line that is parallel and Perpendicular to the

given line for 1 – 18.

Parallel Line Perpendicular Line

1. y 2x 2 A) y 4x 2

2. 1

y x 23

B) 2

y x3

3. 1

y x 72

C) y 3x 5

4. 1

y x3

D) 1

y x 44

5. y 4x 2 E) y 2x 5

6. 4

y x 13

F) 1

y x 13

7. 1

y x 14

G) 1

y x 12

8. y 2x H) 4

y x 23

9. 2

y x 43

I) y 4x 3

10. y 3x 4 J) 3

y x 34

11. 1

y x 34

K) y 2x 1

12. 3

y x 14

L) 3

y x 12

13. 1

y x 32

M) 3

y x 54

14. y 3x 1 N) 1

y x 24

15. 3

y x 52

O) 1

y x 33

16. y 4x 4 P) y 3x 2

17. 4

y x 23

S) 4

y x3

18. 3

y x4

T) 1

y x 32

31

Write an equation for a line, given a point and the

equation of a line parallel to it:

The point (-1,-2) and parallel to X-AXIS.


equation of a line perpendicular to it:

Point (-1,-2) and perpendicular to X-AXIS.


equation of a line parallel to it:

The point (6,5) and parallel to Y-AXIS


equation of a line perpendicular l to it:

Point (6,5) and perpendicular to Y-AXIS

32

Parallel & Perpendicular HW Name _____________________________ Date _____________ Period ______ For each of the following, write the equation of the parallel line that contains the given point.

1. � = 2� − 2 ; (-3, -2) 2. � = −�

�� + 2 ; (3, 1)

3. x-axis ; (-2, 4.5) 4. � =

� ; (2, 4)

For the following equations, write the equation of the perpendicular line that contains

the given point.

5. � =�

�� + 1 ; (2, 1) 6. � = −

�

�� − 1 ; (0, -1)

7. y – axis ; (4, -2) 8. � = 3� − 4 ; (-3, -1)

33

Parallel & Perpendicular HW Name _____________________________ Date _____________ Period ______ 9. Given the graph below, write the equation of the line that is perpendicular to the

graphed line and contains the point (-4, 4).

10. Given the equation 1234 −=− yx , write the equations that are parallel and

perpendicular to the equation and has a y-intercept of 7. parallel line: perpendicular line:

11. Write the equation of the line that is parallel to the line that contains (-2, 4) and (2, 2) and has an x-intercept of 10. 12. Given the equation x = -4, write the equations of the line that are parallel and perpendicular to the equation and passes through the point (4,-1).

parallel line: perpendicular line:

34

“Here Is, Where Is” Scavenger Hunt

Cluster 3 CBA

Show all of your work. List the letter that goes with the answer to a “Here is”

problem in the “Where is” column.

HERE IS WHERE IS

A. ___________ B. ___________ C. ___________ D. ___________ E. ___________ F. ___________

35

G. ___________ H. ___________ I. ___________ J. ___________ K. ___________ L. ___________

36

−6 −4 −2 2 4 6

−6

−4

−2

2

4

6

−6 −4 −2 2 4 6

−6

−4

−2

2

4

6

−6 −4 −2 2 4 6

−6

−4

−2

2

4

6

−6 −4 −2 2 4 6

−6

−4

−2

2

4

6

Review – Unit 3

1. Which of the following equations represents a line perpendicular to a line with a slope of 1 and a

y-intercept of 3?

a. y = -3x b. y = 3x c. y = x + 3 d. y = -x + 3

2. Which graph best represents the equation y = -x + 5?

a. b.

c. d.

3. Which equation best represents the graph of a horizontal line?

a. y = 6 b. x = 6 c. y = 6x d. y = x + 6

4. The graph represents the cost in dollars for printing

T-shirts. Which statement can be interpreted from

analyzing the graph?

a. The cost per shirt is $10 and there is no set up

fee.

b. The cost per shirt is $5 and there is no set up fee.

c. The cost per shirt is $10 and there is a set up fee.

d. The cost per shirt is $5 and there is a set up fee.

37

−6 −5 −4 −3 −2 −1 1 2 3 4 5 6 7

−7

−6

−5

−4

−3

−2

−1

1

2

3

4

5

6

5. Elton's Electrical charges a service charge of $45 plus an hourly fee of $10.

What is the y-intercept of the function?

6. Which of the following is not a valid conclusion about y = 3

1x – 5 ?

a. The line has a positive slope.

b. The line of the equation will pass through the y-axis at (0, -5).

c. The line of the equation has an x-intercept of (15, 0)

d. The line of the equation will pass through (3, 5)

7. Use the following graph to answer questions.

a) Write the equation of the line shown.

b) x- intercept:

c) y-intercept

8. The table below shows the profit earned from ticket sales at a recent football game.

What was the price of each ticket? Note: This is the slope/rate of change.

Tickets Sold Profit in dollars

50 500

100 2250

150 4000

200 5750

38

9. Write the equation of the line shown below.

10. What is the equation of the line with an x-intercept of 5 and a y-intercept of 3?

11. Susan and Marcos both have the same cell phone plan. Susan paid $56 and used her cell phone 200

minutes last month. Marcos used his phone 300 minutes and paid $67 last month. If they both are

charged the exact same way, which of the following equations could be used to find the cost of their cell

phone bill, C, for x number of minutes?

a. C = 11x + 3.40

b. C = 34 + 0.11x

c. C = 0.10x + 36

d. C = 3.60 + 10

12. A snail is sliding on average 5 miles per hour and started 3 miles from home.

What are the x and y intercepts of that equation?

13. You owe a credit card company $500 and are paying it off $50 per month.

a) Find the slope and y-intercept : m =

b =

b) Write the equation in slope-intercept form:

c) If the x – intercept is ( 10 , 0), what is the meaning of the x- intercept?

d) If the y –intercept is (0, 500), what is the meaning of the y- intercept?

e) What is the meaning of the slope?

−6 −5 −4 −3 −2 −1 1 2 3 4 5 6 7

−3

−2

−1

1

2

3

4

5

6

7

8

9

10

39

−6 −5 −4 −3 −2 −1 1 2 3 4 5 6 7

−7

−6

−5

−4

−3

−2

−1

1

2

3

4

5

6

−6 −5 −4 −3 −2 −1 1 2 3 4 5 6 7

−7

−6

−5

−4

−3

−2

−1

1

2

3

4

5

6

−6 −5 −4 −3 −2 −1 1 2 3 4 5 6 7

−7

−6

−5

−4

−3

−2

−1

1

2

3

4

5

6

−6 −5 −4 −3 −2 −1 1 2 3 4 5 6 7

−7

−6

−5

−4

−3

−2

−1

1

2

3

4

5

6

−6 −5 −4 −3 −2 −1 1 2 3 4 5 6 7

−7

−6

−5

−4

−3

−2

−1

1

2

3

4

5

6

14. Which graph represents y = -2

1x – 4 ?

a. b. c.

d. e.

15. Write the equation from the table:

x y

1 -20

2 0

4 40

16. The amount that a video repairman charges for his services is based on the number of hours that he

works. The charge in dollars, c, is given as a function of the number of hours, h, by the equation:

2514 += hc . What is the meaning of the y-intercept?

a) He charges $25 per hour.

b) He charges $14 per hour.

c) He charges a flat fee of $25.

d) He charges a flat fee of $14.

17. Identify the x and y-intercepts from the table:

x y

-2 -11

0 -10

4 -8

6 -7

10 -6

14 -4

20 0

40

−4 −3 −2 −1 1 2 3 4 5

−4

−3

−2

−1

1

2

3

4

x

y

18. What is the equation of the line that passes through the points (-2, 7) and (-6, -3)?

19. Given the graph to the right, answer the following questions.

a. What is the y-intercept?

b. What is the slope?

c. What is the equation?

d. Does the line pass thru (3, 3)?

e. Does the line pass thru (2, 0)?

20. Given the equation 4x – 3y = 9.

a) Slope = ___________

b) Y-intercept = __________

c) Graph the line.

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−8 −7 −6 −5 −4 −3 −2 −1 1 2 3 4 5 6 7 8 9

−9

−8

−7

−6

−5

−4

−3

−2

−1

1

2

3

4

5

6

7

8

N

M

P

K

L

21. Marcus delivers pizzas three nights a week. He receives $15 per night plus $10 for every 20 miles he

drives to make the deliveries. Which of the following graphs best represents his earnings for one night?

a. b.

c. d.

22. Alyssa's carpet cleaning service charges an initial fee of $60, plus $15 for every 100 square feet of

carpet cleaned. Alyssa graphed y, the amount that her cleaning service charges, as a function of x, the

number of square feet of carpet cleaned. (hint: write the equation first)

a. Meaning of the slope ______________________________

b. Meaning of the y-intercept ______________________________

23. Which point lies on the line x + y = 1?

c. point K

d. point L

e. point M

f. point N

g. point P

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24. Use the following function to solve for y and then graph:. 932 =+ yx

25. Does the following table have a constant rate of change? Why or why not?

26. If y is directly proportional with x and y = 6, when x = 10, what is the value of x when y = 24?

27. Write the equation of direct variation that contains the point (-7, 28).

28. Write an equation for a line that is parallel to the line y = -3x + 5 that goes through the point (-2, 1).

29. What would happen to the graph of the line y = 4x + 1 if the slope was multiplied by -1 and the

y-intercept changed to 6?

x y

-1 -3

0 0

1 3

3 6

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