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

slope: $-\frac{3}{5}$ y-intercept: $(0, 9)$
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. Solve for $y$: $3x+5y=45 \\3x+5y-3x=45-3x \\5y=45-3x \\5y=-3x+45 \\\frac{5y}{5}=\frac{-3x+45}{5} \\y=-\frac{3}{5}x+9$ The equation above has $m=-\frac{3}{5}$ and a y-intercept of $(0, 9)$.