document.write( "Question 1028758: please help me to solve the following problem that is
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document.write( "If a straight line passing through the point P(2,3) and having slope 1 and intercept the line x+y-2=0 at Q then find the length of PQ.
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Algebra.Com's Answer #643833 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! please help me to solve the following problem that is \n" ); document.write( "If a straight line passing through the point P(2,3) and having slope 1 and intercept the line x+y-2=0 at Q then find the length of PQ. \n" ); document.write( "------------- \n" ); document.write( "Form of line:: \n" ); document.write( "y = mx + b \n" ); document.write( "Solve for \"b\":: \n" ); document.write( "3 = 1*2 + b \n" ); document.write( "b = 1 \n" ); document.write( "------ \n" ); document.write( "y = x + 1 \n" ); document.write( "Find point Q:: \n" ); document.write( "y - x = 1 \n" ); document.write( "y + x = 2 \n" ); document.write( "------------- \n" ); document.write( "2y = 3 \n" ); document.write( "y = 3/2 \n" ); document.write( "x = 2-y = 1/2 \n" ); document.write( "Q = (1/2,3/2) \n" ); document.write( "---------------------- \n" ); document.write( "Find d(PQ):::: d[(2,3) to (1/2,3/2)] \n" ); document.write( "d = sqrt[(1/2 - 2)^2 + (3/2 - 3)^2] = sqrt[(3/2)^2 + (3/2)^2] (3/2)sqrt(2) \n" ); document.write( "=========== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "----------- \n" ); document.write( " \n" ); document.write( " |