1. Warmups
Determine the slope of the line passing through: (2,7) (4,-5)
Find the slope of each equation:
3x – 6y = y – 2=3(x-1)
Find the x- and y-intercepts:
2x + 5y = 20 y= -2x – 4

2. 6-5 Graphing Linear Equations
Objective: To graph a line in slope-intercept form.

3. Slope – Intercept Form
y = mx +

4. Slope-Intercept Form y = mx + b x & y will stay letters
m = slope, written as a fraction
b = y-intercept, (0,b)

5. Steps to Graph Graph b (y-intercept) on the y-axis
Use slope (as a fraction) to find your next point
- rise/ run from the y-intercept
Example 1: graph y = -1/3 x + 4
m = -1 = 1 = rise
run
b = (0,4) start here
y-intercept

6. Example 2 graph y = x – 5 m = 1 = -1 = rise 1 -1 run B = (0,-5)
start here!

7. Example 3 graph y = 4x m = 4 = -4 = rise 1 -1 run B = (0,0)
start here!

8. Example 4 (it’s standard form)
graph 3x + 2y = 12
Use the x- and y-intercepts to graph!
Hint: cover up method

9. Examples 5 & 6
graph y = -3x + 4

10. Examples 7 & 8
graph

11. Homework
Graphing using slope-intercept form
6-5 Practice