the equation of line q is y=10/9x-4 line r is perpindiculer to line q and passes through (6,-4) what is the eqation of line r

Question

the equation of line q is y=10/9x-4 line r is perpindiculer to line q and passes through (6,-4) what is the eqation of line r

Answer 1

The slope of line r must be

m = -1/(10/9) = -9/10

The equation of line r is

y = (-9/10)x + b

Use the given point to find b.

-4 = (-9/10)(6) + b

Solve for b and finish from here.