# objective: use the slope intercept form to graph a line slope intercept form

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OBJECTIVE:USE THE SLOPE

INTERCEPT FORM TO GRAPH A LINE

Slope Intercept Form

Slope & Y-Intercept

m = slopeb = y-intercept

3 5

y x

y

bm

x

Verify Points on a Line

3 4y x

Determine whether (3,-5)lies on the graph of y = -3x + 4

(3 4)35 5 9 4 5 5 yes

Verify Points on a Line

3 2 1y x

Determine whether (8,4)lies on the graph of 3y = 2x -1

3 2() 1(4 8) 12 16 1 12 15 no

Verify Points on a Line

3 5 4y x

Determine whether (5,-7)lies on the graph of 3y + 5x = 4

3 5( )) 4( 7 5 21 25 4 4 4 yes

Graphing Steps

1. Write the equation in slope intercept form

2. Identify m and b3. Plot the y-intercept

(0,b)

4. Start at the y-intercept, find another point on the line using the slope

5. Draw the line

y = 5x -4

Start at the point (0, -4)Plot another point on the line using the slope (m = 5)

Rise five units upRun one unit to the right

Start at the point (0, 2)Plot another point

on the line using the slope (m = -3/4)

Rise 3 units downRun 4 units to the

right

32

4y x

Graph Using m and b

m =-1b = 4

4y x

4y x

Graph Using m and b

m = 3/4b = -5

35

4y x

Graph Using m and b

m =-1/5b = 1

5 5x y

11

5y x