SOLUTION: Find equations for 4 lines, none of them horizontal or vertical, which intersect at the vertices of a rectangle. What is true about the slopes of these lines? Thank you!

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Question 253823: Find equations for 4 lines, none of them horizontal or vertical, which intersect at the vertices of a rectangle. What is true about the slopes of these lines? Thank you!
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
FIrst create a rectangle with verticies A (0,0); B (3,0) ; C(3,2) ; D(0,2)
We can write equations passing through AC and BD using slope formula which is
m+=+%28y2-y1%29+%2F+%28x2-x1%29
step 1 find slope of AC
m+=+%282-0%29+%2F+%283-0%29 = 2/3
step 2 - find slope of BD
m+=+%282-0%29+%2F%2802-3%29 = -2/3
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We can find equations for AC and BD as
AC: Y = (2/3)x + 0
BD: Y = (-2/3)x + 2
--
we have 2 lines not four that pass through the verticies ABCD.
We notice that the slopes are the same one + and one -.
I don't see four.