# How do you find the slope and y-intercept for the line 2x-3y=6?

The slope is the number attached to x and the y-intercept is your 'b' term in the equation y=mx+b. So, the slope would equal $\frac{2}{3}$ and the y-intercept would be $- 2$.
1. Subtract $2 x$ from both sides of the equal sign so that way you would get the equation: $- 3 y = - 2 x + 6$. This is slope-intercept form. by subtracting the 2x, it cancels out on the left side and moves to the right side.
2. Divide both sides by $- 3$ so that way you isolate y: $y = \frac{2}{3} x - 2$