SOLUTION: parallelogram WXYZ has vertices W (2,2) X (6,3) Y (7,6) and Z ( 3,5). To calculate its area you will first determine the equation of the line through point W and perpendicular TO X

Algebra ->  Parallelograms -> SOLUTION: parallelogram WXYZ has vertices W (2,2) X (6,3) Y (7,6) and Z ( 3,5). To calculate its area you will first determine the equation of the line through point W and perpendicular TO X      Log On


   

Question 1052625: parallelogram WXYZ has vertices W (2,2) X (6,3) Y (7,6) and Z ( 3,5). To calculate its area you will first determine the equation of the line through point W and perpendicular TO Xy. What is the equation of the line?








Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Calculate the slope of line XY.
First the slope,
m%5BXY%5D=%286-3%29%2F%287-6%29=3%2F1=3
Perpendicular lines have slopes that are negative reciprocals,
m%5BXY%5D%2Am=-1
3%2Am=-1
m=-1%2F3
Now use the point-slope form with point W.
y-2=-%281%2F3%29%28x-2%29
y-2=-%281%2F3%29x%2B2%2F3
highlight%28y=-%281%2F3%29x%2B8%2F3%29