Equation of line

Question

I need to find equation of the line that is perpendicular to y = -1/4x - 2 and goes through the point (-2,-3)

Answer 1

The product of slopes of perpendicular lines is -1, so the slope of the perpendicular line must be 4.

y = 4x + b

Find b from the given point.

-3 = 4(-2) + b

b = 5

y = 4x + 5