Find an equation for the line perpendicular to y = -1/9x+6

Question

Find an equation for the line perpendicular to y = -1/9x+6 and goes through the point (2,-5).
Write your answer in the form y=mx+b.

Answer 1

When you are finding a line that is perpendicular, you need to look at the slope. In the format, y=mx+b, the m represents the slope. In this case, the slope (m) of the line is -1/9. A line with a perpendicular slope is the negative inverse. The negative inverse for -1/9 is 9/1. Once you know the slope, you can begin to plug in the new information in order to find the new b (y intercept).

New Line information:

m=9/1, (2,-5) --> this means that x = 2 and y = -5

y=mx+b

-5 = 9/1(2) + b

-5 = 18 + b

-23 = b

Once you find the b, you plug the b and m into the equation y = mx + b

y = 9/1x -23