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

Answer 1

There are a couple of ways to answer this question.

First, the slope is 0 -2 - (-2) / 2 - 0 = 0 / 2 = 0

If your slope is 0, you have a horizontal line. So, looking at your 2 points, no matter what x is equal to, y=-2. And that is your equation

If your teacher wants you to show your work here you would input the values into y₂ - y₁ = m(x₂ - x₁). pick a point (0, -2) and put these values in x₂ and y₂.

-2 - y₁ = 0 (0 - x₁)

-2 - y = 0

add 2 to both sides

-y = 2 or y = -2

.

You can also plot the two points and you will see that the line is

at y = -2.

Answer 2

There are different inputs (x) and the same output (y)

Therefore, no matter what input (x) the output (y) will be -2

That means the equation will be a horizontal line at y = -2