1. Today’s Objective
To be able to find the x and y intercepts of an equation and use them to draw a quick graph.

2. The intercepts are where the line crosses the axis.
Y-Intercept =(0,6) Y
X-Intercept =(2,0) X

3. Finding the intercepts
3x + y = 6 To find the x-intercept, let y = 0
3x + (0) = 6
3x = 6
x = 2
(2,0)

4. Finding the intercepts
3x + y = 6 To find the y-intercept, let x = 0
3(0) + y = 6
y = (0,6)

5. The graph of 3x + y = 6 Y
y-intercept =(0, 6)
x-intercept =( 2,0) X

6. Compare the 2 graphs

7. Finding the intercepts
x + 5y = 10 To find the x-intercept, let y = 0
x + 5(0) = 10
x = (10,0)

8. Finding the intercepts
x + 5y = 10 To find the y-intercept, let x = 0
0 + 5y = 10
5y = 10
y = 2
(0,2)

9. The graph of x + 5y = 10 Y
y-intercept = (0,2)
x-intercept = (10,0) X

10. Find the intercepts and graph
3x + 4y = 12

11. Finding the x-intercept
3x + 4y = 12
3x + 4(0) = 12
3x + 0 = 12
3x = 12
x = 4 (4,0)

12. Finding the y-intercept
3x + 4y = 12
3(0) + 4y = 12
0 + 4y = 12
4y = 12
y = (0,3)

13. The graph of 3x + 4y = 12 Y
y-intercept =(0, 3)
x-intercept = (4,0) X

14. Find the intercepts and graph
y = 4x - 4
You try this one.

15. Finding the x-intercept
y = 4x - 4
0 = 4x - 4
0 + 4 = 4x
4 = 4x
1 = x (1,0)

16. Finding the y-intercept
y = 4x - 4
y = 4(0) - 4
y = -4
(0,4)

17. The graph of y = 4x - 4 Y
x-intercept = (1,0) X
y-intercept = (0,-4)