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August 26, 2011

Linear Function Review

August 26, 2011

Find the slope

1) (-2,1) (3,5)

2) (4,2) (-6,2)

3) (-3,5) (-3,-1)

2 1

2 1

y ym

x x

Slope-Intercept Form

y = mx + b

Linear Equations

• Always graph the y-intercept first!

• Slopes must be fractions when graphing.

• The numerator (top) of the fraction is the rise.

• The denominator (bottom) of the fraction is the run.

4) Graph y = 2

23x

5) Graph y = 2x + 7

Horizontal Lines: HOY

x

yHorizontal Lines have 0 slope; therefore their equations are y = 0x + b or y = b

6) example: Write an equation of the line that passes through (-5, 5) and (7, 5).

y = 5

(-5, 5) (7, 5)

Vertical Lines: VUX

x

yVertical Line have undefined slope. Their equation does not start with y. Their equation is x = #

7) example: Write an equation of the line that passes through (3, 6) and (3, -3).

x = 3(3, -3)

(3, 6)

Standard Form:

Ax + By = Cyou can NOT tell the y-int or the slope FROM this form.

Linear Equations

Standard Form: 3x - 2y = 18you CAN TELL the x and y intercepts from this form. Use the cover up method…8) Find the x and y intercepts

Linear Equations

Graph the following ACCURATELY on graph paper!9) y = 3x – 4

10) y = -2x + 4

11) 3x – 2y = 8

12) 5y + 2x = -10

13) 3x – 4y = 4

14) -x – 2y = 10

15) y = -3

16) x = 6

Today’s Vocabulary:

slope, slope-intercept form, standard form, horizontal lines, vertical lines, x and y intercepts

Homework

WS 2