document.write( "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! \n" ); document.write( "

Algebra.Com's Answer #186165 by drk(1908) $\"\"$ $\"About$

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FIrst create a rectangle with verticies A (0,0); B (3,0) ; C(3,2) ; D(0,2)
\n" ); document.write( "We can write equations passing through AC and BD using slope formula which is
\n" ); document.write( " $\"m+=+%28y2-y1%29+%2F+%28x2-x1%29\"$
\n" ); document.write( "step 1 find slope of AC
\n" ); document.write( " $\"m+=+%282-0%29+%2F+%283-0%29\"$ = 2/3
\n" ); document.write( "step 2 - find slope of BD
\n" ); document.write( " $\"m+=+%282-0%29+%2F%2802-3%29\"$ = -2/3
\n" ); document.write( "--
\n" ); document.write( "We can find equations for AC and BD as
\n" ); document.write( "AC: Y = (2/3)x + 0
\n" ); document.write( "BD: Y = (-2/3)x + 2
\n" ); document.write( "--
\n" ); document.write( "we have 2 lines not four that pass through the verticies ABCD.
\n" ); document.write( "We notice that the slopes are the same one + and one -.
\n" ); document.write( "I don't see four. \n" ); document.write( "

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