1. 4.7 Graphing Lines Using Slope-Intercept Form
We have learned to graph lines
a.) Creating a chart
b.) Using x/y intercept
Today
Slope-Intercept form.

2. Slope-Intercept Form of an equation.
Learn it, Love it, Live it.
y = mx + b
Slope-Intercept Form

3. m = slope b = y-intercept
Slope-Intercept Form
y = mx + b
slope
y-intercept
m = slope b = y-intercept

4. Example Identify the slope and y-intercept. a.) y = -2x + 3 b.) y =
Slope = y-intercept = 3
Slope -2/ y-intercept = 2

5. Identify the slope and y-intercept
Practice
Identify the slope and y-intercept
a.) y = 6x d.) y = -2
b.) y = 3x – 7 e.) y = x + 5
c.) y = 2x – f.) y = 4x + 4

6. Getting more difficult

7. Slope-Intercept Form Identify the slope and y-intercept 3x + y = -11
Problem : It is not in Slope-Intercept form
You MUST rewrite the equation (get y alone)
3x + y = -11
-3x = -3x
Now Identify Slope &
y-intercept
y = -3x –11
Slope = y-intercept = -11

8. Find the slope and y-intercept.
More Examples
Find the slope and y-intercept.
2y + 12 = x (Change to slope intercept)
2y + 12 = x
-12 = -12
2y = x - 12
Slope: ½
y-intercept: -6
y =

9. Even More Examples 12x + 4y = 24 3x + 4y = 16 -12x -12x - 3x -3x
y = -3/4x + 4
y = -3x + 6
Slope : y-intercept: 6
Slope: -3/4 y-intercept: 4

10. Practice (Rewrite in Slope Intercept)
a.) 7y – 14x = b.) 5x – y = 3
y = -2x y = 5x - 3
y = y = -5x + 3
y = 2x y = -5x - 3