Question

What is the slope of `2x-3y=12`?

Answer 1

`2/3`

Explanation:

Turn the standard form of this equation into the slope-intercept form: `y = mx + b`. Remember that `m` is the slope and `b` is the y-intercept. We are trying to find for `m` for this problem.

Bring 2x to the other side of the equal sign by subtracting it from both sides.
`2x - 2x - 3y = 12 - 2x`

`-3y = 12 - 2x`

Make sure that the coefficient of -3 gets out from `y` to have `y` remain isolated. To do so, divide -3 by all of the terms in the equation.
`(-3y = 12 - 2x)/-3`

`y = -4 + 2/3x`

Since `m` is always the coefficient with `x`, we have in this case that `2/3` is the coefficient with `x`. Therefore, the slope has to be `2/3`.