SOLUTION: y=-13/4 X-13/10 Point: (-10.9) Write equation of a line that is perpendicular to the given line. Write in slope-intercept form.

Algebra ->  Linear-equations -> SOLUTION: y=-13/4 X-13/10 Point: (-10.9) Write equation of a line that is perpendicular to the given line. Write in slope-intercept form.      Log On


   

Question 150632: y=-13/4 X-13/10 Point: (-10.9) Write equation of a line that is perpendicular to the given line. Write in slope-intercept form.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Here is your original line and point (-10,9).

Perpendicular lines have slopes that are negative reciprocals of each other.
m%5B1%5Dm%5B2%5D=-1
%28-13%2F4%29m%5B2%5D=-1
m%5B2%5D=4%2F13
Point-slope form using the point (-10,9) and the slope, just calculated, is
y-y%5B1%5D=m%28x-x%5B1%5D%29
y-9=%284%2F13%29%28x-%28-10%29%29
Make it into slope-intercept form,
y-9=%284%2F13%29%28x%2B10%29
y=%284%2F13%29x%2B%2840%2F13%29%2B9
y=%284%2F13%29x%2B%2840%2F13%29%2B117%2F13
y=%284%2F13%29x%2B157%2F13