Question

Which of the following equations is 2x + 3y = 6 written in slope-intercept form.

Answer 1

Answer: $y=\frac{-2}{3}x+2$

Step-by-step explanation:

In slope-intercept form y is isolated

So Let's solve for y.

$2x+3y=6$

Step 1: Add -2x to both sides.

$2x+3y+-2x=6+-2x\\3y=-2x+6$

Step 2: Divide both sides by 3.

$\frac{3y}{3} =\frac{-2x+6}{3} \\y=\frac{-2}{3}x+2$