Write an equation for a line perpendicular to y = − 5 x + 1 and passing through the point (15,0)

Question

Please show me the step by step process

Answer 1

The product of slopes of perpendicular lines is -1, so the slope of the perpendicular line must be

m = -1/(-5) = 1/5

The equation of the perpendicular line is

y = mx + b = (1/5)x + b

Find b from the given point:

0 = (1/5)(15) + b

b = -3

y = (1/5)x - 3

Test the answer.