Answer
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 $(0, 9)$.
