Question

What is the equation of a line that contains the points (2, -2) and (0, -2)?

a.) y = 0
b.) x = -2
c.) y = -2
d.) x = 0

Answer 1

C

Explanation:

Both points y is -2 so the answer is

the line y = -2.

Answer 2

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

`m=(d-b)/(c-a).`

So, the slope of the given line is

`m=(-2-(-2))/(0-2)=(0)/(-2)=0.`

Since the line has a point (2, -2) on it, so its equation will be

`y-(-2)=m(x-2)\\\\\Rightarrow y+2=0(x-2)\\\\\Rightarrow y+2=0\\\\\Rightarrow y=-2.`

Thus, the required equation of the line is
`y=-2.`

Option (c) is CORRECT.