Question

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

Answer 1

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)`