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## Using Intercepts for Graphing Linear EquationsThe
Use the intercepts to graph the line 3x - 4y = 6.
Let x = 0 in 3x - 4y = 6 to find the y-intercept:
Let y = 0 in 3x - 4y = 6 to find the x-intercept:
The y-intercept is, and the x-intercept is (2, 0). The line through the intercepts is shown in the figure below. To check, find another point that satisfies the equation. The point (-2, -3) satisfies the equation and is on the line in the figure below.
Even though two points determine the location of a line, finding at least three points will help you to avoid errors. |