Question

plot the three points on the given coordinate plane. (-2, 0), (-2, 1), (-2, -2) state whether the three points you plotted appear to be collinear (on the same line). collinear not collinear

Explanation:

Step1: Recall coordinate - point plotting

In a two - dimensional coordinate plane $(x,y)$, for the point $(-2,0)$, move 2 units to the left on the x - axis (since $x=-2$) and stay on the x - axis (since $y = 0$).

Step2: Plot the second point

For the point $(-2,1)$, move 2 units to the left on the x - axis (because $x=-2$) and then 1 unit up (because $y = 1$).

Step3: Plot the third point

For the point $(-2,-2)$, move 2 units to the left on the x - axis (as $x=-2$) and 2 units down (as $y=-2$).

Step4: Check collinearity

Points with the same x - coordinate lie on a vertical line. Since all three points $(-2,0)$, $(-2,1)$, and $(-2,-2)$ have $x=-2$, they are collinear.

Answer:

collinear