document.write( "Question 143609: I don't know if this is the right category, but here is my problem:\r
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document.write( "The equation of the line containing one side of a parallelogram is 3x + 2y = 8.
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document.write( "The opposite side contains the point (0,-7).
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document.write( "Which of these is the equation of the line that contains the opposite side?\r
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document.write( "A y = 2/3x-7\r
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document.write( "B y = -3/2x+7\r
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document.write( "C y = 2/3x+7\r
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document.write( "D y = -3/2x-7\r
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document.write( "Please help out. \n" );
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Algebra.Com's Answer #104519 by stanbon(75887)![]() ![]() ![]() 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( " |