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Intercepts

The x-intercept is the point where the line crosses the x-axis. It is found by setting y = 0 and solving the resulting equation. The y-intercept is the point where the line crosses the y-axis. It is found by setting x = 0 and solving the resulting equation.

 
Example

Graph the equation x – 2y = 4.

 

Solution

To find the x-intercept, set y = 0. This yields x – 2 — 0 = 4, or x = 4.  So the x-intercept is (4, 0). To find the y-intercept, set x = 0. This yields 0 – 2y = 4, or y = –2. So the y-intercept is (0, –2). Plotting these two points and connecting them with a straight line yields.


 





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