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.
