# What is the equation of a line perpendicular to the line #- 8x + y = - 56# and contains the point #(8,7)#?

##### 1 Answer

Mar 2, 2018

solve for y

if a line is perpendicular, its slope is the negative reciprocal.

the slope of this equation is 8, so the slope of a line perpendicular to it is

plug this into the point-slope eqation

this can be simplified to