1. Graphing Lines Using Intercepts
Goal: Find the intercepts and use them to graph the equation

2. What are the intercepts?
The x-intercept is the point where a line crosses the x-axis
The y-intercept is the point where a line crosses the y-axis

3. Let’s take a look! y
y-intercept is 4
(0,4)
(7,0) x
x-intercept is 7

4. You try it!
x-intercept is…. y-intercept is….

5. You try it!
x-intercept is…. y-intercept is….

6. You try it!!!
x-intercept is…. y-intercept is….

7. Find the x-intercept
To find the x-intercept, put a 0 in for y and solve for x
2x + 3y = 6
2x + 3*0 = 6
The x-intercept is 3. the point the line crosses the x-axis is (3,0)
2x = 6 2 2
x = 3

8. You try it!
Find the x-intercept
3x – 4y = 12

9. You try it!
Find the x-intercept
x + 4y = -2

10. Find the y-intercept
To find the y-intercept, put a 0 in for x and solve for y
2x + 3y = 6
2*0 + 3y = 6
The y-intercept is 2. The line crosses the y-axis at point (0,2)
3y = 6
y = 2

11. You try it!
3x – 4y = 12

12. You try it!
2x – 17y = -51

13. Challenge
y = 4x + 40

14. Choose appropriate scales
We learned in the previous example that the x-intercept is -10 and the y-intercept is 40
(0,40)
Sometimes we must scale our coordinate plane to make our answers fit.
(-10,0)

15. Summary Find the intercepts
Draw a coordinate plane that includes the intercepts
Plot the intercepts and draw a line through them