Answer: the correct option is
(c) y = -2.
Step-by-step explanation: We are given to find the equation of a line that contains the points (2, -2) and (0, -2).
We know that
the slope of a line containing the points (a, b) and (c, d) is given by
[tex]m=\dfrac{d-b}{c-a}.[/tex]
So, the slope of the given line is
[tex]m=\dfrac{-2-(-2)}{0-2}=\dfrac{0}{-2}=0.[/tex]
Since the line has a point (2, -2) on it, so its equation will be
[tex]y-(-2)=m(x-2)\\\\\Rightarrow y+2=0(x-2)\\\\\Rightarrow y+2=0\\\\\Rightarrow y=-2.[/tex]
Thus, the required equation of the line is [tex]y=-2.[/tex]
Option (c) is CORRECT.
