Question

Put 3x – 2y = 12 in slope-intercept equation?

Answer 1

Slope-intercept equations take the form of y = mx + b, where m is the slope and b is the y-intercept.

So let's take our starting equation:
3x - 2y = 12

The first step is to get isolate the y variable:
-2y = 12 - 3x

Now we want to divide both sides by the coefficient of y:
-2y/-2 = (12 - 3x)/-2
y = (3/2)x - 6

This is of the form y = mx + b, so we're done. The slope is 3/2, and the y-intercept is -6.