Given data:
The given equation of line is Y=5x-3.
The given point is (a, b)=(0, -5).
The standard form of the line is,
y=mx+c
Comapre the given equation.
m=5.
parallel lines have equal slope.
m'=m
m'=5.
The equation of line is,
y-(-5)=m'(x-0)
y+5=5x
y=5x-5
Thus, the equation of line is y=5x-5.