document.write( "Question 1172152: The point P lies on the line joining A(-1,-5) and B(11,13) such that AP=(1/3)AB.
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document.write( "(i) Find the equation of the line perpendicular to AB and passing through P.
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document.write( "The line perpendicular to AB passing through P and the line parallel to the
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document.write( "x-axis passing through B intersect at the point Q. \r
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document.write( "(ii) Find the coordinates of the point Q. \n" );
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Algebra.Com's Answer #797192 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! the equation of AB: slope is 3/2 and point slope y-y1=m(x-x1), m slope (x1, y1) point is \n" ); document.write( "y+5=(3/2)(x+1) \n" ); document.write( "y=(3/2)x-7/2 \n" ); document.write( "The line perpendicular to AB has slope -2/3. \n" ); document.write( "AP is 4 x units or x=+3 from A and 6 y units or +1 from A. \n" ); document.write( "so P is at (3, 1) \n" ); document.write( "So AP has equation y-1=(-2/3) (x-3) \n" ); document.write( "y=(-2/3)x+3 \n" ); document.write( "graph these \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Point Q has y=11 and is on line y=(-2/3)x+3, so 8=(-2/3)x and x=-12 \n" ); document.write( "(-12, 11) \n" ); document.write( " \n" ); document.write( " |