Write the equation for the line that is perpendicular to y=-3x-5 and passes through the point (6,5

Question

Write the equation for the line that is perpendicular to y=-3x-5 and passes through the point (6,5

Answer 1

y = mx + b

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

m = -1/-3 = 1/3

y = (1/3)x + b

Find b from the given point.

5 = (1/3)(6) + b

You should be able to finish from here.