Answer
The slopes are the same, so the points are collinear.
Work Step by Step
To calculate the slope between points $(x_1,y_1)$ and $(x_2,y_2)$, we use the formula:
$slope=m=\frac{y_2-y_1}{x_2-x_1}$
We calculate the slope between the points $(0,-7), (-3,5), (2,-15)$ in all three combinations:
$m_1=\frac{5--7}{-3-0}=\frac{12}{-3}=-4$
$m_2=\frac{-15-5}{2--3}=\frac{-20}{5}=-4$
$m_3=\frac{-15--7}{2-0}=\frac{-8}{2}=-4$
The slopes are the same, so the points are collinear.
