1. Using “T” Tables & Graphing Intercepts
x-intercept
y-intercept

2. Using a “T” Table
The minimum number of points needed to graph a line is 2. However, 3 or greater is more accurate.
Graph the equation 3x + y = 6 by making a “T” Table and graphing the line.

3. 3x + y = 6 y x 1 3

4. 3x + y = 6 y x 1 3 2

5. 3x + y = 6 y x 1 3 2 6

6. Now DRAW the Line Y
(1,3) X
(2,0)
(0,6)

7. Definition - Intercepts
The x-intercept of a straight line is the x-coordinate of the point where the graph crosses the x-axis.
The y-intercept of a straight line is the y-coordinate of the point where the graph crosses the y-axis.
y-intercept
x-intercept

8. Intercepts
Finding the x-intercept & y-intercept is like filling in this t-table when x = 0 and you solve for y, and when y = 0 solving for x. y x ? ?

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

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

11. The graph of 3x + y = 6 Y
y-intercept = 6
x-intercept = 2 X

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

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

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

15. The graph of 3x + 4y = 12 Y
y-intercept = 3
x-intercept = 4 X

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

17. Finding the x-intercept
y = 4x - 4
0 = 4x - 4
0 + 4 = 4x
4 = 4x
1 = x

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

19. The graph of y = 4x - 4 Y
x-intercept = 1 X
y-intercept = -4

20. Name the x-intercept and the y-intercept of the equation graphed below.
The x-intercept occurs when y = 0
( 2 , 0)
The y-intercept occurs when x = 0
(0, -3)