Question

Writing an Equation using Two Points
A line passes through (5, –4) and (–1, –4).

Use the work below.

m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction. M = StartFraction negative 4 minus (negative 4) Over negative 1 minus 5 EndFraction. M = StartFraction 0 Over negative 6 EndFraction. M = 0.

What can you conclude about this line? Select all that apply.
It is a vertical line.
It is a horizontal line.
The equation is x = –4.
The equation is y = –4.
It is impossible to have m = 0.

Answer 1

Correct choices:
- It is a horizontal line.
- The equation is y = –4.

Reason: Both points have y = –4, so the slope m = 0 and the line is horizontal with equation y = –4. The other statements are false.