Question

How do you find the slope and intercept to graph `3x+4y=-12`?

Answer 1

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

The slope is `-3/4`

The y-intercept is at `(0,-3)`

Explanation:

The best way to find the slope and the y-intercept of the given line is to re-write the equation in the slope-intercept form.
That way, you can read the slope and the y-intercept directly from the equation.

The slope-intercept form of an equation is
`y = mx + b`
where `m` is the slope and `b` is the y-intercept.

Rewrite the equation in the slope-intercept form

Given `3x+4y=−12`    Solve for `y`

1) Subtract `3x` from both sides to isolate the `4y` term
After you subtract, you will get this:
`4y = - 3x - 12`

2) Divide all the terms on both sides by `4` to isolate `y`
`y = -(3)/(4)x - 3`

This equation tells you that the slope is `-(3)/(4)`, and that the y-intercept us at `(0,-3)`

You can click here to see the graph of this line
https://www.google.com/search?source=hp&ei=eOO7WuTpMYKL5wK8qY6ADw&q=y+%3D+-%283%2F4%29x+-+3&oq=y+%3D+-%283%2F4%29x+-+3&gs_l=psy-ab.12...1454.13188.0.16952.16.15.0.0.0.0.156.1364.9j5.14.0....0...1.1.64.psy-ab..2.4.478.0..0j0i131k1.0.sih2wBD0tnI

Or you can use the Mathway graphing tool to see this line
https://www.mathway.com/PreAlgebra?problem=eT0oMykvKDQpeC0z
(Change the web site's slope of `3/4` into your wanted slope of `-3/4` )