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 $(-1,4), (-2-1), (1,14)$ in all three combinations:
$m_1=\frac{-1-4}{-2--1}=\frac{-5}{-1}=5$
$m_2=\frac{14--1}{1--2}=\frac{15}{3}=5$
$m_3=\frac{14-4}{1--1}=\frac{10}{2}=5$
The slopes are the same, so the points are collinear.
