document.write( "Question 1093733: Find the other endpoint of the line segment with the given endpoint and midpoint.\r
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document.write( "Endpoint: (−1, 9), midpoint: (−9, −10) \n" );
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Algebra.Com's Answer #708419 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! You don't need to be a slave to magic formulas that you might not understand. Find the answer by logical reasoning. \n" ); document.write( "One endpoint is (-1,9); the midpoint is (-9,-10). \n" ); document.write( "Think of walking along this line segment. You start at x=-1 and get to the midpoint at x = -9, a change of -8; you start at y=9 and get to the midpoint at y=-10, a change of -19. \n" ); document.write( "You have reached the halfway point in you journey by going -8 in the x direction and -19 in the y direction; you will reach the end of your journey (the other endpoint of the line segment) if you go another -8 in the x direction and another -19 in the y direction. \n" ); document.write( "-9 + (-8) = -17; this is the x coordinate of the other endpoint. \n" ); document.write( "-10+ (-19) = -29; this is the y coordinate of the other endpoint. \n" ); document.write( "The other endpoint of the segment is (-17,-29). \n" ); document.write( " |