Question

How do you put `2x-3y=6` in slope intercept form?

Answer 1

`y=2/3x-2`

Explanation:

Recall slope-intercept form

`y=mx+b`, with slope `m` and `y`-intercept of `b`.

We essentially just want a `y` on the left side, so let's subtract 2x# from both sides to get

`-3y=-2x+6`

Lastly, let's divide both sides by `-3` to get

`y=2/3x-2`

Our equation is now in slope-intercept form, where the slope is `2/3` and our `y`-intercept is `-2`.

Hope this helps!