document.write( "Question 146817This question is from textbook
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document.write( ": USe slopes to show that the square with vertices at (-2,5), (4,5), (4,-1) and
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document.write( "(-2,-1) has diagonals that are perpendicular \n" );
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Algebra.Com's Answer #107220 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! Opposite corners are (-2,5) and (4,-1), \n" ); document.write( "and (-2,-1) and (4,5). \n" ); document.write( "Find the slope m of the lines connecting opposite corners. \n" ); document.write( "---------------- \n" ); document.write( "(-2,5) and (4,-1) \n" ); document.write( "m1 = (y2-y1)/(x2-x1) \n" ); document.write( "m1 = (-1-5)/(4+2) \n" ); document.write( "m1 = -6/6 = -1 \n" ); document.write( "------------- \n" ); document.write( "(-2,-1) and (4,5) \n" ); document.write( "m2 = (5 - (-1))/(4 -(-2)) \n" ); document.write( "m2 = 6/6 = +1 \n" ); document.write( "Since the slopes are negative inverses, they're perpendicular. \n" ); document.write( " |