document.write( "Question 85380: Please help me\r
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document.write( "Given points A(10,4) and B(6,-12), show that P(4,-3) is on the perpendicular bisector of line AB \n" );
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Algebra.Com's Answer #61546 by vertciel(183)![]() ![]() ![]() You can put this solution on YOUR website! Hello there,\r \n" ); document.write( "\n" ); document.write( "The perpendicular bisector meets the straight line at the midpoint of the line. The midpoint of this intersection would be (8,-4) since A and B are (10,4) and (6, -12) respectively.\r \n" ); document.write( "\n" ); document.write( "To show that P(4,-3) is on the perpendicular bisector, you can substitute the values of P into the equation of the perp. bisector. Of course, you would need to find this equation first.\r \n" ); document.write( "\n" ); document.write( "1) Find the slope of the line AB. Denote \r \n" ); document.write( "\n" ); document.write( "2) Denote the midpoint of line AB as M or anything else you like.\r \n" ); document.write( "\n" ); document.write( "3) Now that you know the slope of AB, what would be the slope of MP? \r \n" ); document.write( "\n" ); document.write( "4) y - y1 = m(x - x1): Write the equation for MP. You know that MP passes through (8, -4)\r \n" ); document.write( "\n" ); document.write( "5) Plug the values of P into the equation. \n" ); document.write( " |