Question

How do you graph `3x-4y=-12` using the intercepts?

Answer 1

If you know the `x-` and `y-`intercepts of a line you can draw the line passing through them.

Explanation:

All along the `x-`axis, `y` = 0. All along the `y-`axis, `x` = 0.

To find the `x` intercept, make `y` = 0 and solve for `x`.
To find the `y` intercept, make `x` = 0 and solve for `y`.

In this example:

For the `x` intercept, `3x - 4(0) = -12` `rArr x = -4`

For the `y` intercept, `3(0) - 4y =-12` `rArr y = 3` graph graph{y = 3x/4 +3 [-10, 10, -5, 5]}

Draw the line through these points.