## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

slope = $3$ y-intercept: $(0, -2)$
Solve for $y$. $3x-y=2 \\3x-y+y=2+y \\3x=2+y \\3x-2=2+y-2 \\3x-2=y \\y=3x-2$ This means that the given equation is equivalent to, and has the same graph as $y=3x-2$. RECALL The slope-intercept form of a line's equation is $y=mx+b$ where $m$=slope and $(0, b)$ is the line's y-intercept. Thus, the equation $y=3x-2$ has a slope of $3$ and a y-intercept of $(0, -2)$.