Question

How do you find the slope given `-2x-3y = -2`?

Answer 1

The slope is `-2/3`.

Explanation:

`-2x-3y=-2` is written in the standard form for a linear equation, which is `"A"x+"B"y"=""C"`. To find the slope, convert the standard form to the slope-intercept form by solving the standard form for `y`. The slope-intercept form is `y=mx+b`, where `m` is the slope.

Solving for `y`.

`-2x-3y=-2`

Add `2x` to both sides of the equation.

`-3y=2x-2`

Divide both sides by `-3`.

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

The slope is `-2/3`.

graph{y = -2/3x+2/3 [-10, 10, -5, 5]}