Peter R. answered 07/31/22
Adjunct Lecturer - Math Department - Borough of Manhattan C.C.
Here's another approach:
3y - 15x = 18 Re-write in slope-int form: Divide by 3 - > y - 5x = 6 -> y = 5x + 6
So slope ("m") will be 5.
Now find new y-int ("b") using the (-5,1) point. 1 = 5(-5) + b -> 1 = -25 + b b = 26
Parallel line through (-5,1) is y = 5x + 26.