Answer: y = 3x+17
Step-by-step explanation:
The given equation y = 3x-5 is of the form y = mx+b
- m = 3 = slope
- b = -5 = y intercept
Parallel lines have the same slope, which means the answer also has a slope of 3.
Plug in the given point (x,y) = (-4,5) along with the slope m = 3 so we can determine the y intercept.
y = mx+b
5 = 3*(-4)+b
5 = -12+b
5+12 = b
17 = b
b = 17
We go from y = mx+b to y = 3x+17 as the final answer.