SOLUTION: Using slopes, find the fourth vertex of a parallelogram if (7,-1),(-3,1) and (-5,5) are it's three consecutive vertices.

SOLUTION: Using slopes, find the fourth vertex of a parallelogram if (7,-1),(-3,1) and (-5,5) are it's three consecutive vertices.

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Question 1065647: Using slopes, find the fourth vertex of a parallelogram if (7,-1),(-3,1) and (-5,5) are it's three consecutive vertices.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

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Find the slope of the line from (-3,1) to (-5,5).
Change in y is 4, change in x is -2.
So starting at (7,-1),
(7,-1)+(-2,4)=(5,3)
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Algebraically,

So then starting from (7,-1)

Next find the slope from (7,-1) to (-3,1),

Starting from (-5,5),

So now find the intersection of the two lines,

and

(5,3) as we already showed.
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