document.write( "Question 158149: Help!
\n" ); document.write( "Write an equation of the line containing the given point and parrallel to the given line. Express your answer in the form y=mx+b.
\n" ); document.write( "(4,9);x+7y=5 \n" ); document.write( "
Algebra.Com's Answer #116523 by nerdybill(7384)\"\" \"About 
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(4,9);x+7y=5
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\n" ); document.write( "Begin my modifying the given equation into the slope-intercept form:
\n" ); document.write( "y = mx + b
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\n" ); document.write( "x+7y=5
\n" ); document.write( "7y=-x+5
\n" ); document.write( "y = (-1/7)x + 5/7
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\n" ); document.write( "From the above, we see that the slope of the line is -1/7.
\n" ); document.write( "We use the slope (-1/7) and the given point (4,9), and plug them into \"point-slope\" form:
\n" ); document.write( "y-y1 = m(x-x1)
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\n" ); document.write( "y - 9 = (-1/7)(x-4)
\n" ); document.write( "multiplying both sides by 7:
\n" ); document.write( "7y - 63 = (-1)(x-4)
\n" ); document.write( "7y - 63 = -x + 4
\n" ); document.write( "7y = -x + 67
\n" ); document.write( "finally, dividing both sides by 7:
\n" ); document.write( "y = (-1/7)x + 67/7 (this is what they're looking for)\r
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