Question

How do you find the x and y intercepts for `12-3y=3x`?

Answer 1

x-intercept: `4`
y-intercept: `4`

Explanation:

The x-intercept is the value of `x` when `y=0`
(i.e. the value of `x` where the graph crosses the X-axis, since for all points on the X-axis `y=0`)

`12-3(0)=3x rArr x=4`
(i.e. the x-intercept is `4`)

Similarly the y-intercept is the value of `y` when `x=0`

`12-3y=3(0) rArr y=4`
(i.e. the y-intercept is `4`)