Answer: [tex]y=\frac{-2}{3}x+2[/tex]
Step-by-step explanation:
In slope-intercept form y is isolated
So Let's solve for y.
[tex]2x+3y=6[/tex]
Step 1: Add -2x to both sides.
[tex]2x+3y+-2x=6+-2x\\3y=-2x+6[/tex]
Step 2: Divide both sides by 3.
[tex]\frac{3y}{3} =\frac{-2x+6}{3} \\y=\frac{-2}{3}x+2[/tex]