document.write( "Question 38557This question is from textbook
\n" ); document.write( ": The question is write an equation for the perpendicular bisector of the line segment joining the two points?\r
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Algebra.Com's Answer #24064 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
The question is write an equation for the perpendicular\r\n" );
document.write( "bisector of the line segment joining the two points?\r\n" );
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document.write( "the points are (0,0)(-8,-10)\r\n" );
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document.write( "1. First we find the midpoint between (0,0) and (-8,-10)\r\n" );
document.write( "because the perpendicular bisector must pass through \r\n" );
document.write( "its midpoint.\r\n" );
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document.write( "2. Second we find the slope of the line through \r\n" );
document.write( "   (0,0) and (-8,-10)\r\n" );
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document.write( "3. Third we find the slope of the perpendicular bisector \r\n" );
document.write( "   by\r\n" );
document.write( "   A. taking the reciprocal of the slope of the line \r\n" );
document.write( "      thru (0,0) and (-5,10)\r\n" );
document.write( "   B. Multiplying this result by -1, which means \r\n" );
document.write( "      \"changing the sign\"\r\n" );
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document.write( "4. Fourth, we find the equation of the perpendicular \r\n" );
document.write( "   bisector using the point-slope form.\r\n" );
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document.write( "5. Simplify \r\n" );
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document.write( "Here goes:\r\n" );
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document.write( "1. First we find the midpoint between (0,0) and (-8,-10)\r\n" );
document.write( "because the perpendicular bisector must pass through \r\n" );
document.write( "its midpoint.\r\n" );
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document.write( "Midpoint = ( (x1+x2)/2, (y1+y2)/2 )\r\n" );
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document.write( "Midpoint = ( [0+(-8)]/2, [0+(-10)]/2 )\r\n" );
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document.write( "Midpoint = ( -8/2, -10/2 )\r\n" );
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document.write( "Midpoint = (-4,-5)  \r\n" );
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document.write( "2. Second we find the slope of the line through\r\n" );
document.write( "   (0,0) and (-8,-10)\r\n" );
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document.write( "    y2 - y1\r\n" );
document.write( "m = 覧覧覧予r\n" );
document.write( "    x2 - x1\r\n" );
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document.write( "    (-10) - (0)\r\n" );
document.write( "m = 覧覧覧覧覧覧\r\n" );
document.write( "     (-8) - (0)\r\n" );
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document.write( "m = (-10)/(-8)\r\n" );
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document.write( "m = 5/4\r\n" );
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document.write( "3. Third we find the slope of the perpendicular bisector \r\n" );
document.write( "   by\r\n" );
document.write( "   A. taking the reciprocal of the slope of the line \r\n" );
document.write( "      thru (0,0) and (-5,10)\r\n" );
document.write( "      \r\n" );
document.write( "      reciprocal of 5/4 is 4/5\r\n" );
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document.write( "   B. Multiplying this result by -1, which means \r\n" );
document.write( "      \"changing the sign\"\r\n" );
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document.write( "      changing the sign of 4/5 we have -4/5\r\n" );
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document.write( "4. Fourth, we find the equation of the perpendicular \r\n" );
document.write( "   bisector using the point-slope form.\r\n" );
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document.write( "        y - y1 = m(x - x1) where \r\n" );
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document.write( "    m = -4/5 and (x1,y1) = Midpoint = (-4,-5)\r\n" );
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document.write( "      y - (-5) = -4/5[x - (-4) ]\r\n" );
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document.write( "5. Simplify\r\n" );
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document.write( "         y + 5 = -4/5(x + 4)\r\n" );
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document.write( "         y + 5 = -4/5x - 16/5\r\n" );
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document.write( "             y = -4/5x - 16/5 - 5\r\n" );
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document.write( "             y = -4/5x - 16/5 - 25/5\r\n" );
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document.write( "             y = -4/5x - 41/5\r\n" );
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document.write( "If you like you can put the equation in standard\r\n" );
document.write( "form by clearing of fractions, getting x term first,\r\n" );
document.write( "y term second, equal sign third and number fourth:\r\n" );
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document.write( "            5y = -4x - 41\r\n" );
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document.write( "       4x + 5y = -41\r\n" );
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document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com
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