Write an equation of the line that passes through (−1, −4) and is perpendicular to the line y=3/4x−2. An equation of the perpendicular line is y= .

Question

Last one, I'm a little rusty on these

Answer 1

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

m = -1/(3/4) = -4/3

y = (-4/3)x + b

Find b from the given point.

-4 = (-4/3)(-1) + b

You should be able to finish from here.