Answer:
YES. These points are collinear.
Step-by-step explanation:
If three points are collinear, then the slopes are the same.
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
For (0, -10) and (-3, -13):
[tex]m=\dfrac{-13-(-10)}{-3-0}=\dfrac{-13+10}{-3}=\dfrac{-3}{-3}=1[/tex]
For (-3, -13) and (2, -8):
[tex]m=\dfrac{-8-(-13)}{2-(-3)}=\dfrac{-8+13}{2+3}=\dfrac{5}{5}=1[/tex]
We can check the last pair (0, -10) and (2, -8):
[tex]m=\dfrac{-8-(-10)}{2-0}=\dfrac{-8+10}{2}=\dfrac{2}{2}=1[/tex]
