document.write( "Question 65749: the line joining A(2,3) and B(6,-5)meet the xaxis at P .
\n" );
document.write( "write down the y cordinate of P hence find the ratio AP:PB \n" );
document.write( "
Algebra.Com's Answer #46477 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! the line joining A(2,3) and B(6,-5)meet the xaxis at P . \n" ); document.write( "write down the y cordinate of P hence find the ratio AP:PB \n" ); document.write( "------------ \n" ); document.write( "Using the two given points you can find an equation for \n" ); document.write( "the line AB: \n" ); document.write( "m=[-5-3]/[6-2]=-2 \n" ); document.write( "To find \"b\" use 3=-2(2)+b \n" ); document.write( "b=7 \n" ); document.write( "EQUATION of line AB: y=-2x+7 \n" ); document.write( "The x-intercept is (0,7) \n" ); document.write( "The distance AP=sqrt[(2-0)^2+(3-7)^2]=sqrt20=2sqrt5 \n" ); document.write( "The distance PB=sqrt[(6-0)^2+(-5-7)^2]=6sqrt5 \n" ); document.write( "Then the ratio of AP to PB = 2sqrt5:6sqrt5 = 1:3 \n" ); document.write( "---------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |