Question

line AB has an equation of a line y = 5x − 2. Which of the following could be an equation for a line that is parallel to line AB?

Answer 1

Y=5x. Parallel lines have the same slope of it was perpendicular it would be -5x the opposite of the slope

Answer 2

So our main equation for line AB is y=5x+2
We are trying to find an equation for a line parallel to AB

First, we must determine the slope of y=5x+2
m= 5
Therefore any parallel line to AB must have a slope of 5 as well! 

Out of all the options, y=5x+3 is the only one with a slope of 5. You can even graph it yourself on desmos! 
The equation of a line parallel to AB is y = 5x+3

The correct answer is : A