## Algebra: A Combined Approach (4th Edition)

First make $x + 3y = 6$ into point slope form. $x+3y=6$ minus x on both sides, $-x+x+3y=6-x$ simplify, $3y=6-x$ then divide 3 on both sides, $\frac{3y}{3}$ $=$ $\frac{6-x}{3}$ simplify $y= \frac{-x}{3} +2$, which gives us the slope of $\frac{-1}{3}$ and y-intercept of $2$