Question

How do you graph the line `x-2y=4` by using intercepts?

Answer 1

The x-intercept is `(4,0)`
The y-intercept is `(0,-2)` graph{x-2y=4 [-10, 10, -5, 5]}

Explanation:

The x-intercept always has a y value of `0`. So simply substitute `0` in place if `y` in your equation and you can calculate the x-intercept.

`x-2y=4` substitute `0` for `y`
`x-2(0)=4`
`x=4`. The x-intercept is `(4,0)`

Similarly, the y-intercept always has an x value of `0`. This time, substitute `0` in for `x` in your equation.

`x-2y=4`

`0-2y=4`

`-2y=4`

`y=-2`. So the y-intercept is `(0,-2)`