# Chapter 3 - Introduction to Graphing - Review Exercises: Chapter 3 - Page 226: 46

slope: $-\frac{3}{5}$ y-intercept: $(0, 9)$

#### Work Step by Step

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 $(0, 9)$.

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