Question

Find the equation of a line that is parallel to the line x=−2 and contains the point (−5,1).

A) x=−5
B) y=1
C) y=−5
D) x=1

Answer 1

The equation of the line that is parallel to x=-2 and contains the point (-5,1) is x=-5.

Step-by-step explanation:

To determine the equation of a line that is parallel to the line x=-2 and contains the point (-5,1), we need to find the equation in the form y=mx+b.

Since the given line is x=-2, it is a vertical line with infinite slope. Any line that is parallel to this line will also have infinite slope.

The equation of a line with infinite slope and passing through point (-5,1) can be written as x=-5.