What is the equation?

Question

What is the equation of a line through point (-4,5) that is perpendicular to the line with equation y=-6x+4?

Answer 1

Its slope m must be the negative reciprocal of the slope of the given line, so

 

m = -1/-6 = 1/6

 

In point-slope form, the equation is

 

y - y₁ = m(x - x₁)

 

m = 1/6

x₁ = -4

y₁ = 5

 

Plug in the numbers and get the equation.