Write - 3x+2y=12 in slope intercept form and show the steps

-3x+2y=12

2y=12+3x

y = (3/2) x + 6

Slope-intercept form can be written as

y = mx + b

From the question above, we should move x to another side (right side), so the left side only contains of y-variable

-3x + 2y = 12

2y = 12 + 3x

To make slope-intercept form, only y is on the left side. We should move the coefficient 2 to the right side.

2y = 12 + 3x

2y = 3x + 12

y = (3x + 12) / 2

Simplify the equation

y = (3x + 12) / 2

y = (3/2) x + 12/2

y = (3/2) x + 6

This is the final answer ⇒ y = (3/2) x + 6