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The points (1,3) and (5,5) are opposite vertices of a rectangle. The other two vertices lie on the y=2x + k. Find the value of k.

Sagot :

Given the points (1,3) and (5,5) as the opposite vertices of a rectangle in Cartesian place, the other two (opposite) vertices lie on:

y = - ¹/₂ x + 11/2

To prove that y = 2x + k is not the equation where the two remaining (opposite) vertices lie, please CLICK  the image below with illustration and explanation.  Thanks.
View image Аноним