perpendicular to the line -3x+y=-22 containing the points (6,-5)

Question

find the equation of the line 

Answer 1

Perpendicular means its slope is the negative reciprocal of the slope of the given line.

 

Given line:

 

m = 3

 

Perpendicular line:

 

m = -1/3

 

y = (-1/3)x + b

 

Use the given point to find b.

 

-5 = (-1/3)(6) + b

 

Solve for b and finish from here.