1. 4.3 Graphing with Intercepts
find the x- and y-intercepts of linear equations.

2. What does it mean to INTERCEPT a pass in football?
The path of the defender crosses the path of the thrown football.
In algebra, what are x- & y-intercepts?

3. What are the x- and y-intercepts?
The x-intercept is where the graph crosses the x-axis. To find the x- intercept let y=0 and solve for x. The y-intercept is where the graph crosses the y-axis. To find the y- intercept let x=0 and solve for y.
(2, 0)
(0, -6)

4. What do all x-intercepts have in common?
They have the same x coordinate
They have the same y coordinate
They have nothing in common

5. Find the x- and y-intercepts. 2x +3y = 6
x-intercept: Let y=0
2x +3(0) = 6
2x = 6
x=3; (3, 0)
y-intercept: Let x=0
2(0) +3y = 6
3y = 6
y=2; (0, 2)

6. 2x +3y = 6

7. Find the x- and y-intercepts. -2x +4y = -16
x-intercept: Let y=0
-2x +4(0) = -16
-2x = -16
x=8; (8, 0)
y-intercept: Let x=0
-2(0) +4y = -16
4y = -16
y=-4; (0, -4)

8. -2x +4y = -16

9. Find the x- and y-intercepts. 3x - 4y = 24
x-intercept: Let y=0
3x -4(0) = 24
3x = 24
x=8; (8, 0)
y -intercept: Let x=0
3(0) -4y = 24
-4y = 24
y=-6; (0, -6)

10. 3x -4y = 24

11. Find the x- and y-intercepts. y = 7
x-intercept:
There is no x-intercept. None
y-intercept:
(0,7)
What type of lines have no x-intercept?
What type of lines have no y-intercept?

12. When finding the x-intercept, let y=0. y-intercept, let x=0
Remember
When finding the x-intercept, let y=0. y-intercept, let x=0