Question

How do you find the equation, x-intercept, and the y-intercept for the line with an x-intercept of 4 and a slope of 3/4?

Answer 1

`x`-intercept is `4`, `y`-intercept is `-3` and equation in general foorm is `3x-4y-12=0`

Explanation:

As `x`-intercept of the line is `4`, the line passes through `(4,0)`. As its slope is `3/4`, we can use point slpe form to find the equation and equation is

`y-0=3/4(x-4)`

or `4y=3x-12` or `3x-4y-12=0` in general form

or `y=3/4x-3` in slope intercept form.

Hence, `y`-intercept is `-3`.

graph{3/4x-3 [-10, 10, -5, 5]}