College Algebra Homework HELP

Question

Find the equation of the linear function g that has g(20)=1 and that is perpendicular to m(w)=−8/13w−36.

Answer 1

The slope of the perpendicular line is -1 / (-8/13) = 13/8.

g(x) has the form (13/8)x + b

Since g(20) = 1, (13/8)(20) + b = 1

65/2 + b = 1

b = -63/2

So, g(x) = (13/8)x - 63/2