The points are collinear

The points are collinear r-;t-.r4J

Dear student
$$\begin{gathered} \mathrm{We} \mathrm{have} \\ \left({\mathrm{x}}_1,{\mathrm{y}}_1\right)=\left(-2,-2\right) \\ \left({\mathrm{x}}_2,{\mathrm{y}}_2\right)=\left(-6,-2\right) \\ \left({\mathrm{x}}_3,{\mathrm{y}}_3\right)=\left(-2,2\right) \\ \mathrm{Area} \mathrm{of} \mathrm{triangles} \mathrm{is} \mathrm{given} \mathrm{by}: \\ =\frac{1}{2}\left|{\mathrm{x}}_1\left({\mathrm{y}}_2-{\mathrm{y}}_3\right)+{\mathrm{x}}_2\left({\mathrm{y}}_3-{\mathrm{y}}_1\right)+{\mathrm{x}}_3\left({\mathrm{y}}_1-{\mathrm{y}}_2\right)\right| \\ =\frac{1}{2}\left|\left(-2\right)\left(-2-2\right)+\left(-6\right)\left(2-\left(-2\right)\right)+\left(-2\right)\left(-2-\left(-2\right)\right)\right| \\ =\frac{1}{2}\left|8+\left(-6\right)\left(2+2\right)+\left(-2\right)\left(-2+2\right)\right| \\ =\frac{1}{2}\left|8-24+0\right| \\ =8 \mathrm{sq}. \mathrm{units} \end{gathered}$$
Since area is not equal to 0 ,So  points are not collinear.
Regards