1. Finding the Intercepts of a Line
An x-intercept is a point where a graph crosses the x-axis. At such a point, y = 0.
 The point would be (x, 0). x y 1 2 3 4 1 2 3 4
(3, 0)
x-intercept

2. Finding the x-intercept
To find the x-intercept of a line,
Let y = 0
Solve for x

3. Finding the x-intercept
To find the x-intercept of a line,
Let y = 0
Solve for x
Example 1
Find the x-intercept of 2x + 3y = 6
Substitute 0 for y
Solve for x
The x-intercept is 3.
The line crosses the x-axis at (3, 0)

4. Finding the x-intercept
Try This One…
Find the x-intercept of x – 2y = 6
Substitute 0 for y
Solve for x
The x-intercept is 6.
The line crosses the x-axis at (6, 0)

5. Finding the Intercepts of a Line
An y-intercept is a point where a graph crosses the y-axis. At such a point, x = 0.
 The point would be (0, y). x y 1 2 3 4 1 2 3 4
y-intercept
(0, 2)

6. Finding the y-intercept
To find the y-intercept of a line,
Let x = 0
Solve for y

7. Finding the y-intercept
To find the y-intercept of a line,
Let x = 0
Solve for y
Example 1
Find the y-intercept of 2x + 3y = 6
Substitute 0 for x
Solve for y
The y-intercept is 2.
The line crosses the y-axis at (0, 2)

8. Finding the y-intercept
Try This One…
Find the y-intercept of x – 2y = 6
Substitute 0 for x
Solve for y
The y-intercept is -3.
The line crosses the y-axis at (0, -3)

9. Find the Intercepts
Find the x-intercept and the y-intercept of the graph of the equation y = x + 2

10. Find the Intercepts
Find the x-intercept and the y-intercept of the graph of the equation 4x + 3y = 12

11. Find the Intercepts
Find the x-intercept and the y-intercept of the graph of the equation 2x – y = 4.