document.write( "Question 1155216: Use the midpoint formula method to find the equation of the perpendicular bisector of the line segment whose endpoints are (-2,3) and (-8, 1) . Write the equation in double intercept form please thanks! \n" ); document.write( "
Algebra.Com's Answer #777766 by MathLover1(20850)\"\" \"About 
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the perpendicular bisector of the line segment whose endpoints are
\n" ); document.write( "(\"-2\",\"3\") and (\"-8\", \"1\") will pass through mid-point (\"x\",\"y\")\r
\n" ); document.write( "\n" ); document.write( "(\"%28-2-8%29%2F2\",\"%283%2B1%29%2F2\")=>\r
\n" ); document.write( "\n" ); document.write( "(\"-5\",\"2\")\r
\n" ); document.write( "\n" ); document.write( "now find equation of the line which contain given endpoints\r
\n" ); document.write( "\n" ); document.write( "first calculate a slope:\r
\n" ); document.write( "\n" ); document.write( "\"m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29\"\r
\n" ); document.write( "\n" ); document.write( "\"m=%281-3%29%2F%28-8-%28-2%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"m=+-2%2F%28-8%2B2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"m=+-2%2F-6\"\r
\n" ); document.write( "\n" ); document.write( "\"m=+1%2F3\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=mx%2Bb\"...plug in a slope and coordinates of one point\r
\n" ); document.write( "\n" ); document.write( "\"3=%281%2F3%29%28-2%29%2Bb\"....solve for \"b\"\r
\n" ); document.write( "\n" ); document.write( "\"3=%28-2%2F3%29%2Bb\"\r
\n" ); document.write( "\n" ); document.write( "\"3%2B2%2F3=b\"\r
\n" ); document.write( "\n" ); document.write( "\"b=11%2F3\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=%281%2F3%29x%2B11%2F3\"=> the slope is \"1%2F3\"\r
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\n" ); document.write( "\n" ); document.write( "now find the perpendicular line:\r
\n" ); document.write( "\n" ); document.write( "recall: perpendicular line has a slope negative reciprocal to the slope of the line above\r
\n" ); document.write( "\n" ); document.write( "\"-1%2F%281%2F3%29=-3\"=>the slope of perpendicular line\r
\n" ); document.write( "\n" ); document.write( "\"y=-3x%2Bb\".........use mid-point (\"-5\",\"2\") to calculate \"b\"\r
\n" ); document.write( "\n" ); document.write( "\"2=-3%28-5%29%2Bb\"\r
\n" ); document.write( "\n" ); document.write( "\"2=15%2Bb\"\r
\n" ); document.write( "\n" ); document.write( "\"b=2-15\"\r
\n" ); document.write( "\n" ); document.write( "\"b=-13\"\r
\n" ); document.write( "\n" ); document.write( "equation is: \"y=-3x-13\"\r
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