document.write( "Question 390297: Hi,
\n" ); document.write( "I need help on the following questions and please explain how you did them.\r
\n" ); document.write( "\n" ); document.write( "1) show that (4,4) is one the perpendicular bisector of the line segment joining (-2,12) and (4,-6).\r
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\n" ); document.write( "\n" ); document.write( "2) find the value of K for which the line joining (2.1,3.3) and (K,-3.2) is parallel to the line joining (-1,-2) and (1,3).\r
\n" ); document.write( "\n" ); document.write( "Thank you so much!!! \n" ); document.write( "
Algebra.Com's Answer #276696 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!

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document.write( "Hi
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document.write( "Midpoint ( \"%28x%5B1%5D+%2B+x%5B2%5D%29%2F2\", \"%28y%5B1%5D+%2B+y%5B2%5D%29%2F2\")
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document.write( "Midpoint for line segment joining(-2,12) and (4,-6). 
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document.write( " Midpoint is Pt(1, 3) slope of that segment is -6-12  / 4-(-2) = -18/6 = -3
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document.write( "slope of segment joining (4,4) and (1,3) is 3-4  /1-4 = -1/-3 = 1/3
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document.write( "slopes of two segments are negative reciprocals of one another, 
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document.write( "thus segments ⊥ to one another.
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document.write( "2) find the value of K for which the line joining (2.1,3.3) and (K,-3.2) is parallel to the line joining (-1,-2) and (1,3). 
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document.write( "parallel lines have identical slopes
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document.write( "line joining (-1,-2) and (1,3) has slope:   3-(-2) / 1-(-1) = 5/2
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document.write( "line joining (2.1,3.3) and (K,-3.2): -3.2 - 3.3 / K - 2.1 =  -6.5/(K - 2.1)
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document.write( "-6.5/(K - 2.1) = 5/2  
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document.write( "5(K-2.1) = -2*6.5
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document.write( "5K - 10.5 = -13
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document.write( " 5K = -2.5
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document.write( "  K = -.5     \n" );
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