SOLUTION: write an equation of the perpendicular bisector of the line segment whose endpoints are (3, 4) and (-3, -2).

Algebra ->  Parallelograms -> SOLUTION: write an equation of the perpendicular bisector of the line segment whose endpoints are (3, 4) and (-3, -2).      Log On


   

Question 851148: write an equation of the perpendicular bisector of the line segment whose endpoints are (3, 4) and (-3, -2).
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

(3, 4) and 

(-3, -2)  m%5Bsegment%5D+=+%284-%28-2%29%29%2F%283-%28-3%29%29+=+1  m+=%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29+

and midpoint is (0,1)   Midpoint Pt(x,y):  ( %28x%5B1%5D+%2B+x%5B2%5D%29%2F2, %28y%5B1%5D+%2B+y%5B2%5D%29%2F2++%29)

 perpendicular bisector of the line segment m%5Bbisector%5D+=+green%28-1%29 

***Using point-slope form, y+-+y%5B1%5D+=+m%28x+-+x%5B1%5D%29

 y-1 = -1(x-0)

  y = -x + 1