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

##### 1 Answer

#### 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

where

**Rewrite the equation in the slope-intercept form**

Given

1) Subtract

After you subtract, you will get this:

2) Divide all the terms on both sides by

This equation tells you that the slope is

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