SOLUTION: The points (5, 3) and (1,−1) are plotted on a sheet of graph paper. The sheet of graph paper is folded along a line so that the point (5, 3) lands on top of the point

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: The points (5, 3) and (1,−1) are plotted on a sheet of graph paper. The sheet of graph paper is folded along a line so that the point (5, 3) lands on top of the point       Log On


   



Question 629152: The points (5, 3) and (1,−1) are plotted on a sheet of graph paper. The sheet of
graph paper is folded along a line so that the point (5, 3) lands on top of the point (1,−1). What is the equation of the line that represents the fold?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
points m+=%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29
(5, 3)
(1,-1) m = 4/4 = 1, y = x-2 the Eq of the line thru these 2 points
Fold line so that the point (5, 3) lands on top of the point (1,-1)
Line Perpendicular, passing thru the midpoint( %28x%5B1%5D+%2B+x%5B2%5D%29%2F2, %28y%5B1%5D+%2B+y%5B2%5D%29%2F2++%29)(3,1)
which is y+=+-x+%2B+4