Answer
The slopes are not the same, so the points are not 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 $(0,9), (-3,-7), (2,19)$ in all three combinations:
$m_1=\frac{-7-9}{-3-0}=\frac{-16}{-3}$
$m_2=\frac{19--7}{2--3}=\frac{26}{5}$
$m_3=\frac{19-9}{2-9}=\frac{10}{-7}$
The slopes are not the same, so the points are not collinear.
