Answer
Slope: $-\frac{3}{2}$
$y$-intercept: $(0,3)$
Work Step by Step
Rearrange the equation into slope-intercept form.
$3x+2y=6$
$2y=-3x+6$
$y=-\frac{3}{2}x+3$
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: $-\frac{3}{2}$
$y$-intercept: $(0,3)$
The student was incorrect. The student did not put the equation into slope-intercept form first.
