document.write( "Question 1028758: 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.
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Algebra.Com's Answer #643833 by stanbon(75887)\"\" \"About 
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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.
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\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
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\n" ); document.write( "y = x + 1
\n" ); document.write( "Find point Q::
\n" ); document.write( "y - x = 1
\n" ); document.write( "y + x = 2
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\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)
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\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)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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