document.write( "Question 1092593: find the equation of the line passing through P(4,-1) that is parallel to the line joining A(-5,2) and B(9,4). answer in general form \n" ); document.write( "
Algebra.Com's Answer #707260 by ankor@dixie-net.com(22740)\"\" \"About 
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find the equation of the line passing through P(4,-1) that is parallel to the line joining A(-5,2) and B(9,4). answer in general form
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\n" ); document.write( "Find the slope of the line joining A & B (Since they are parallel, the other line has the same slope. m = \"%28y2+-+y1%29%2F%28x2-x1%29\"
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\n" ); document.write( "m = \"%28%284+-+2%29%29%2F%28%289+-%28-5%29%29%29\" = \"2%2F14%29%29\" = \"1%2F7\" is the slope
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\n" ); document.write( "Use point/slope form to find the line passing thru 4, 1. y - y1 = m(x-x1)
\n" ); document.write( "y - (-1) = \"1%2F7\"(x - 4)
\n" ); document.write( "y + 1 = \"1%2F7\"x - \"4%2F7\"
\n" ); document.write( "y = \"1%2F7\"x - \"4%2F7\" - 1
\n" ); document.write( "y = \"1%2F7\"x - \"4%2F7\" - \"7%2F7\"
\n" ); document.write( "y = \"1%2F7\"x - \"11%2F7\" is the equation
\n" ); document.write( "But they want it in the general form
\n" ); document.write( "Get rid of the fractions, multiply equation by 7
\n" ); document.write( "7y = x - 11
\n" ); document.write( "-x + 7y = -1
\n" ); document.write( "or multiply by -1
\n" ); document.write( "x - 7y = 11 is the general form
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