document.write( "Question 1017113: Find the equation, is slope-intercept form, of the perpendicular bisector of the segment joining the points (5, 2) and (1, -4). \n" ); document.write( "

Algebra.Com's Answer #633460 by macston(5194) $\"\"$ $\"About$

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\n" ); document.write( "The slope of the given segment:
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\n" ); document.write( "Slope of segment=(-4-2)/(1-5) = -6/-4 = 3/2
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\n" ); document.write( "The slope of the perpendicular bisector is
\n" ); document.write( "the negative reciprocal.
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\n" ); document.write( "Slope of perpendicular bisector= -2/3
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\n" ); document.write( "The perpendicular bisector goes through the midpoint
\n" ); document.write( "of the given segment:
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\n" ); document.write( "Midpoint of given segment= ((5+1)/2, (2+-4)/2)=(2,-1)
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\n" ); document.write( "For x=2, y=-1, and m=-2/3, find b:
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\n" ); document.write( "y=mx+b
\n" ); document.write( "-1=(-2/3)(2)+b
\n" ); document.write( "-1=-4/3+b
\n" ); document.write( "1/3=b
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\n" ); document.write( "Equation in slope intercept form:
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\n" ); document.write( "m=-2/3, b=1/3
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\n" ); document.write( "ANSWER: $\"y=-%282%2F3%29x%2B%281%2F3%29\"$
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