So,
A parallel line will have the same slope as another parallel line.
We know this much of the parallel line:
y = -5x + b
To solve for b, all we have to do is substitute the given ordered pair for x and y, and then solve for b.
y = -5x + b
3 = -5(4) + b
Multiply.
3 = -20 + b
Add 20 to both sides.
23 = b
Now we have the complete equation.
y = -5x + 23