Question

What is the equation of the line that is parallel to the

Answer 1

Answer:

Step-by-step explanation:

A parallel line will have the same slope as the reference line.  In this case, I don't see the "given line" as promised in the question.  If it does appear, and it looks like y = 5x + 3, for example, the slope is 5 and the new line will have the same slope.

If this slope is correct, we can start the equation for the parallel line that goes through point (-3,2) by starting with:

y = 5x + b

We need a value of b that forces the line to go through point (-3,2).  We can do that by using the given point in the equation and solving for b:

y = 5x + b

2 = 5(-3) + b

b = 17

The parallel line to y=5x+3 is

y = 5x + 17

See attachment.