Question

How do you find the slope for 2x + 3y = 12?

Answer 1

The slope is `-2/3`.
Convert the given equation to the slope-intercept form by solving for `y`.

Explanation:

`2x+3y=12` is the standard form for a linear equation. To determine the slope, solve the equation for `y` in order to convert to the slope-intercept form `y=mx+b`, where `m` is the slope and `b` is the y-intercept.

`2x+3y=12`

Subtract `2x` from both sides.

`3y=-2x+12`

Divide both sides by `3`.

`y=-2/3x+12/3` `=`

`y=-2/3x+4`

The slope is `-2/3`