What are the intercepts of 7x-9y=8?

1 Answer
Wayne
Apr 26, 2016

The x-intercept is (8/7, 0)

The y-intercept is (0,8/-9) or (0, -8/9)

Explanation:

Intercepts are points where a graph crosses the x and y axis.

For a linear equation, like your problem, it is very easy to locate these two points. First the x-intercept can be found by substituting "0" in place of the "y" in your equation.

7x-9y=8
7x-9(0)=8
7x=8
x=8/7 The x-intercept is located at the point ( 8/7 , 0)

In the same way, you can calculate the y-intercept by substituting "0" in for the "x" variable in the equation.

7x-9y=8
7(0)-9y=8
-9y=8
y=-8/9 The y-intercept is at the point (0, -8/9)

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