1. Using Slope-Intercept Form
Graphing Equations
Using Slope-Intercept Form

2. Review of Slope
The slope of a line is a measure of its steepness. The steeper the line the greater the magnitude of the slope
Slope = -4
Slope = 4
Slope = 1
Slope = 1/4
Slope = -1/4
Slope = -1

3. The Y-intercept
By definition in mathematics the intercept, as used in the coordinate plane, is the distance from the origin ( 0, 0) to the point where a function touches an axis. For the y-intercept it would be where the line touches the y axis.
( 0, 7)
Notice how the y coordinate of the y-intercept is the same as the distance from the origin 7
The y-intercept is 7
What is the y-intercept of the red line? 2
What is the y-intercept of the blue line? -5

4. Slope-intercept Form of a Linear Equation
Slope- intercept form is written
where
“m” is the slope of the line
and “b” is the y-intercept
Give the slope and y-intercept for
Slope = 2
Y-intercept = -7

5. Now You Try
Slope-intercept Form
Slope
Y-intercept 3 6 -4 -2 1 1 -5 1

6. Graphing in Slope-intercept Form
Given an equation in slope-intercept form
Run = 1
Rise = 3
Step 1 Plot the y-intercept
Step 2 Write the slope as rise over run
Step 3 Starting from the y-intercept apply the slope and plot points on either side of the y-intercept
Rise = -3
Run = -1
Step 4 Connect the points with a line

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