1. Graphing with X- and Y-Intercepts
Learn to use x- and y-intercepts
to graph linear equations.

2. You can graph a linear equation easily by finding the x-intercept and the
y-intercept.
The x-intercept of a line is the value of x where the line crosses the x-axis (where y = 0).
The y-intercept of a line is the value of y where the line crosses the y-axis (where x = 0).

3. Find the x-intercept and y-intercept of the line y = 4x + 4
Find the x-intercept and y-intercept of the line y = 4x + 4. Use the intercepts to graph the equation.
Find the x-intercept (?, 0).
y = 4x + 4
Find the y-intercept (0, ?).
(0) = 4x + 4
y = 4x + 4
y = 4(0) + 4
-4 = 4x
y = 4
-1 = x
The x-intercept is (-1, 0).
The y-intercept is (0, 4).

4. Plot both intercepts on the graph and draw in the line.
The graph of y = 4x + 4 is the line that crosses the x-axis at the point (-1, 0) and the y-axis at the point (0, 4).

5. Find the x-intercept and y-intercept of the line y = -3x - 6
Find the x-intercept and y-intercept of the line y = -3x - 6. Use the intercepts to graph the equation.
Find the x-intercept (?, 0).
Find the y-intercept (0, ?).
y = -3x - 6
(0) = -3x - 6
y = -3x - 6
_ +6
y = -3(0) - 6
6 = -3x
y = -6
-2 = x
The x-intercept is (-2, 0).
The y-intercept is (0, -6).

6. Plot both intercepts on the graph and draw in the line.
The graph of y = -3x – 6 is the line that crosses the x-axis at the point (-2, 0) and the y-axis at the point (0, –6).

7. Find the x-intercept and y-intercept of the line y = 18 – 6x
Find the x-intercept and y-intercept of the line y = 18 – 6x. Use the intercepts to graph the equation.
Find the x-intercept (?, 0).
y = 18 – 6x
Find the y-intercept (0, ?).
(0)= 18 – 6x
y = 18 – 6x
0 = 18 – 6x
y = 18 – 6(0)
y = 18
-18 = – 6x
x = 3
The y-intercept is (0,18).
The x-intercept is (3, 0).

8. Plot both intercepts on the graph and draw in the line.
The graph of y = 18 – 6x is the line that crosses the x-axis at the point (3, 0) and the y-axis at the point (0, 18).