WARM-UP

1.

2. .27v-1.6=.32v-2

4 11

9 3 2

xx

GRAPHING LINEAR EQUATIONS AND INEQUALITIES

Slope-Intercept Form

y = mx + bm = slope

b = y-intercept

−2

+3

+2

−3

x

y1) Find the slope and y-intercept.

2) Plot the y-intercept.

m =−23

or m = 2

4) Draw a line through the points.

y 2

3x 2

3) Plot the slope.

−32

;3

m b 2

Graph the following linear equation using the slope and y-intercept

−1

y

x

1) Find the slope and y-intercept.

2) Plot the y-intercept.

m =21

or m = −2

4) Draw a line through the points.

y 2x 1

3) Plot the slope.+2

+1

−2

−1

m 2 b 1

Graph the following linear equation using the slope and y-intercept

Graphing Horizontal and Vertical Lines

y

x

y

x

Graph y = 1 and x = −2.

y = 1x = −2

Count up 1 on the y-axis.

Count left 2 on the x-axis.

y = 1x = −2

Draw a horizontal line.Draw a vertical line.

Horizontal Lines are in the form y = c.

Vertical Lines are in the form x = c.

Graph.

2 2

3y x

2

3m2b

x

y

Shade up

Shadedown

Solid line

Dashed line

> <

If in y mx b form...

Graph.

2 5x y

2 5y x 2         2x x

x

y

1        1

2 5y x

5b2

1m

Graph.

22 2

5x y

22 2

5y x

2 2       

5 5x x

x

y

2        2 1

15

y x

1b1

5m

YOU TRY 1. y=3x+1 2.

4x+y=2

3. 2x>6 4.

5. 6. y=6

8 8x y

32

5y x

Assignment

Worksheet graphing equations and inequalities

Closure: Describe the graph of a linear inequality in two variables.