What is an equation of the line that passes through the point (-5,7)(−5,7) and is parallel to the line x-5y=15x−5y=15?

Answer 1

Hi! So to start, let's simplify the expression x-5y=15x-5y=15.

We'll want to combine the like terms, so once we do that, we'll get 15x - x - 5y + 5y = 15. Combine like terms and you get 14x=15. Your equation is x = 15/14.

Since the slope is undefined and the line has to pass through the point (-5,7), the x coordinate is (-5), so a parallel line would be x = -5.