Graph a line using the x-intercept and the y-intercept.
Example 1:
Graph the line that has the given intercepts.
x-intercept: 4
y-intercept: -2
Solution:
Plot the point (4, 0). Plot the point (0, -2). Draw a line through the points.
Example 2:
Find the x-intercept and the y-intercept of the equation. Graph the equation using the intercepts.
6x - 3y = -12
Solution:
To find the x-intercept of the graph of the equation, let y=0.
6x - 3y = -12
6x - 3(0) = -12
6x = -12
x = -2 The x-intercept is -2. The point is (-2, 0).
To find the y-intercept of the graph of the equation, let x=0.
6x - 3y = -12
6(0) - 3y = -12
-3y = -12
y = 4 The y-intercept is 4. The point is (0, 4).
Plot these points and draw a line through them.
Assignment:
Find the x-intercept and the y-intercept of each equation. Graph each equation using the intercepts.
1. 4x - 5y = 20
2. -2x + 9y = -18
3. 6x + y = 12
4. x + 7y = -21
5. -2x + 4y = 16
6. y = 2x - 4
7. y = x + 3
8. y = -x + 2
9. y = 3x - 6
10. y = -2x + 3
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