Answer
Slope: $-\frac{3}{5}$
$y$-intercept: $(0,\frac{12}{5})$
Work Step by Step
Rearrange the equation into slope-intercept form.
$3x+5y=12$
$5y=-3x+12$
$y=-\frac{3}{5}x+\frac{12}{5}$
The slope is the coefficient of $x$, and the constant term that is added is the $y$ value in the $y$-intercept of $(0,y)$.
Slope: $-\frac{3}{5}$
$y$-intercept: $(0,\frac{12}{5})$
