According to the given data we have the following:
equation of the line passing through point P (3, -5)
parallel to y = 3x + 5, hence the slope of the equation of the line would be 3, because parallel lines have the same slope.
So, if y=mx+b
m=3
b?
To calculate b we would plug the values 3 and 5 into the equation.
So, 5=3(3)+b
b=-4
Hence, equation of the line passing through point P (3, -5) that is parallel to y = 3x + 5 would be:
y=3x-4
