document.write( "Question 148283: Find the equation of the line parallel passing through 3x+y=7. x=2;y=1 3/4 \n" ); document.write( "
Algebra.Com's Answer #108696 by nerdybill(7384)\"\" \"About 
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Find the equation of the line parallel passing through 3x+y=7. x=2;y=1 3/4
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\n" ); document.write( "Begin by finding the slope of:
\n" ); document.write( "3x+y=7
\n" ); document.write( "Do this by manipulating the above until it is in the form of:
\n" ); document.write( "y = mx + b
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\n" ); document.write( "3x+y=7
\n" ); document.write( "y = -3x + 7
\n" ); document.write( "Here, m=-3 (slope)
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\n" ); document.write( "Now, we KNOW that parallel lines have to have identical slopes. Therefore, our new equation will have a slope of -3.
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\n" ); document.write( "The problem also wanted the equation to pass through:
\n" ); document.write( "x=2;y=1 3/4
\n" ); document.write( "or
\n" ); document.write( "(x,y) = (2,1.75)
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\n" ); document.write( "Plug the above and the slope into the \"slope-intercept\" form of the line and solve for b:
\n" ); document.write( "y = mx + b
\n" ); document.write( "1.75 = -3(2) + b
\n" ); document.write( "1.75 = -6 + b
\n" ); document.write( "7.75 = b
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\n" ); document.write( "Therefore, the equation of the line is:
\n" ); document.write( "y = -3x + 7.75
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