2x+3y=6
- subtract 2x from both sides
3y = -2x + 6
- divide each term by 3
[tex]\frac{3y}{3} = -\frac{2x}{3} + \frac{6}{3}[/tex]
- simplify
[tex]\frac{6}{3} = 2[/tex]
[tex]y= -\frac{2x}{3} + 2[/tex]
- write in slope-intercept form
[tex]y= -\frac{2}3} x+6[/tex]
