document.write( "Question 143609: I don't know if this is the right category, but here is my problem:\r
\n" ); document.write( "\n" ); document.write( "The equation of the line containing one side of a parallelogram is 3x + 2y = 8.
\n" ); document.write( "The opposite side contains the point (0,-7).
\n" ); document.write( "Which of these is the equation of the line that contains the opposite side?\r
\n" ); document.write( "\n" ); document.write( "A y = 2/3x-7\r
\n" ); document.write( "\n" ); document.write( "B y = -3/2x+7\r
\n" ); document.write( "\n" ); document.write( "C y = 2/3x+7\r
\n" ); document.write( "\n" ); document.write( "D y = -3/2x-7\r
\n" ); document.write( "\n" ); document.write( "Please help out.
\n" ); document.write( "

Algebra.Com's Answer #104519 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
The equation of the line containing one side of a parallelogram is 3x + 2y = 8.
\n" ); document.write( "The opposite side contains the point (0,-7).
\n" ); document.write( "Which of these is the equation of the line that contains the opposite side?
\n" ); document.write( "A y = 2/3x-7
\n" ); document.write( "B y = -3/2x+7
\n" ); document.write( "C y = 2/3x+7
\n" ); document.write( "D y = -3/2x-7
\n" ); document.write( "-------------------------
\n" ); document.write( "Find the slope of the given line:
\n" ); document.write( "3x+2y=8
\n" ); document.write( "y = (-3/2)x + 4
\n" ); document.write( "slope is -3/2
\n" ); document.write( "---------------------
\n" ); document.write( "Since the figure is a parallelogram, the opposite side is parallel and
\n" ); document.write( "has the same slope. So you want the equation of the line that has
\n" ); document.write( "slope = -3/2 and passes thru the point (0,-7)
\n" ); document.write( "--------------
\n" ); document.write( "Form of the equation is y=mx+b and you know y=-7 when x=0 and you know m=-3/2
\n" ); document.write( "So, solve for \"b\":
\n" ); document.write( "-7 = (-3/2)*0 + b
\n" ); document.write( "b = -7
\n" ); document.write( "-------------------
\n" ); document.write( "EQUATION:
\n" ); document.write( "y = (-3/2)x - 7
\n" ); document.write( "=======================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
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