document.write( "Question 1195341: Points A and B are the coordinates of the x and y intercepts of the line 2x-3y=6. Find the equation of a perpendicular bisector to the line segment □(→┬AB ) \n" ); document.write( "
Algebra.Com's Answer #827813 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "Points A and B are the coordinates of the x and y intercepts of the line \r
\n" ); document.write( "\n" ); document.write( "\"2x-3y=6\"\r
\n" ); document.write( "\n" ); document.write( "x intercept:
\n" ); document.write( "\"2x-3%2A0=6\"
\n" ); document.write( "\"2x=6\"
\n" ); document.write( "\"x=3\"=> A=(\"3\",\"0\")\r
\n" ); document.write( "\n" ); document.write( "y intercept:
\n" ); document.write( "\"2%2A0-3y=6\"
\n" ); document.write( "\"-3y=6\"
\n" ); document.write( " \"y=6%2F-3\"
\n" ); document.write( "\"y=-2\" => B=(\"0\",\"-2\")\r
\n" ); document.write( "\n" ); document.write( "slope of given line (also a segment AB) is \"m=%28-2-0%29%2F%280-3%29=-2%2F-3=2%2F3\"\r
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\n" ); document.write( "\n" ); document.write( " the equation of a perpendicular bisector to the line segment □(→┬AB ) will have a slope negative reciprocal to the slope of given line\r
\n" ); document.write( "\n" ); document.write( "so, slope is \"m=-1%2F%282%2F3%29=-3%2F2\"\r
\n" ); document.write( "\n" ); document.write( "intersection of the line segment \"AB\" and a perpendicular bisector will be midpoint of the line segment \"AB\" which is\r
\n" ); document.write( "\n" ); document.write( "M(\"%283%2B0%29%2F2\",\"%280-2%29%2F2\")=(\"3%2F2\",\"-1\")\r
\n" ); document.write( "\n" ); document.write( " the equation of a perpendicular bisector will be\r
\n" ); document.write( "\n" ); document.write( "\"y-y%5B1%5D=m%28x-x%5B1%5D%29\"....substitute \"m=-3%2F2\" and M=(\"3%2F2\",\"-1\")\r
\n" ); document.write( "\n" ); document.write( "\"y-%28-1%29=-%283%2F2%29%28x-3%2F2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"y%2B1=-%283%2F2%29x-%283%2F2%29%28-3%2F2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"y=-%283%2F2%29x%2B9%2F4-1\"\r
\n" ); document.write( "\n" ); document.write( "\"y=-%283%2F2%29x%2B5%2F4\"-> the equation of a perpendicular bisector \r
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