Daily Homework Quiz

Graph

- x3

2y= 3–

1.

2. Find the slope of the line that passes through (5, 2) and (-5, -3). 𝟏

𝟐

Warm Up

2.4 Part 2Sept 6, 2013

Graphing Equations in Standard Form

Step 1: Find the x-intercept by letting y = 0 and solving for

x.

Plot (x, 0)

Step 2: Find the y-intercept by letting x = 0 and solving for

y.

Plot (0, y).

Step 3: Draw a line through the two points .

Example 3 Draw Quick Graphs

Graph 3x + 2y = 12

STEP 1 Find the x-intercept.

3x + = 12( 02 )Let y = 0

The x-intercept is 4, so plot the point (4, 0).

2y+ = 12(03 )Let x = 0

The y-intercept is 6, so plot the point (0, 6).

STEP 2 Find the y-intercept.

STEP 3 Draw a line through the intercepts.

3x = 123 3x = 4

2y = 122 2y = 6

Example 3 Short cut version

Graph 3x + 2y = 12

Checkpoint

Graph the equation.

1. x + y = 2

Draw Quick Graphs

Checkpoint

Graph the equation.

2. 5x + 2y = 10

Draw Quick Graphs

Graphing x = #Ex. Graph x = -3The x coordinate is -3 no matter what the value of y is. x y

-3 0

-3 1

-3 2

-3 3

••••

Choose any value of y

So, the graph of x = # is always a VERTICAL LINE

Ex. Graph x = 4

The graph of x = 4 is VERTICAL LINE at 4.

Graphing y = #Ex. Graph y = 2The y coordinate is 2 no matter what the value of x is. x y

0 2

1 2

2 2

3 2••••

Choose any value of x

So, the graph of y = # is always a HORIZONTAL LINE

Ex. Graph y = -4

The graph of y = -4 is HORIZONTAL LINE at -4.

Homework:

WS: Graphing Equations in Standard

Form