document.write( "Question 107345: Find the coordinates of the midpoint of a segment with the pair of endpoints\r
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document.write( "(-7.-6). (-8.8)\r
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document.write( "a. (1/2, -7) b. (-1,-16) c. (-15/2,1) d. (-13/2,0) \n" );
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Algebra.Com's Answer #78183 by bucky(2189) ![]() You can put this solution on YOUR website! You were given the two points (-7,-6) and (-8,8) and were asked to find the coordinates of \n" ); document.write( "the midpoint of the line joining these two points. \n" ); document.write( ". \n" ); document.write( "The x value of the midpoint is found by averaging the x values of the two points. In other words \n" ); document.write( "add the two given x-values and divide by 2. The x value of the first point is -7 and the \n" ); document.write( "x-value of the second point is -8. Add these two values and you get -15. Then divide by \n" ); document.write( "2 and you get that the x-value of the midpoint is -15/2. This is enough to tell you that the \n" ); document.write( "answer is \"c\" because it is the only answer with -15/2 in the x-position. \n" ); document.write( ". \n" ); document.write( "But just to make sure that \"c\" is correct let's also average the y-values of the two points to \n" ); document.write( "find the y-value of the midpoint. The y-value of the first point is -6 and the y-value of \n" ); document.write( "the second point is +8. When you algebraically add -6 and +8 you get +2 and then divide by 2 \n" ); document.write( "to get +1. This tells you that the y-value of the midpoint is +1. That value is in the y-position \n" ); document.write( "of answer \"c\". Therefore, this helps to confirm that answer \"c\" is the correct answer. \n" ); document.write( "The midpoint is located at (-15/2, +1). \n" ); document.write( ". \n" ); document.write( "Hope this helps you to understand this problem. \n" ); document.write( " \n" ); document.write( " |