Answer
See image for graph answer
Work Step by Step
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 $2$
