document.write( "Question 171451: write the slope intercept form of an equation for the line that passes through (-4,-3) and is paraell to thr graph of y = -3/7x-2 \n" ); document.write( "
Algebra.Com's Answer #126580 by nerdybill(7384)\"\" \"About 
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\n" ); document.write( "For a line to be parallel to:
\n" ); document.write( "y = -3/7x-2
\n" ); document.write( "BOTH lines MUST have the same slope
\n" ); document.write( ".
\n" ); document.write( "Notice:
\n" ); document.write( "y = -3/7x-2
\n" ); document.write( "is already in the \"slope-intercept\" form of:
\n" ); document.write( "y = mx + b
\n" ); document.write( "where
\n" ); document.write( "m is slope
\n" ); document.write( "b is y-intercept
\n" ); document.write( ".
\n" ); document.write( "So, we can see that our new line MUST have a slope of -3/7 AND crosses the point at (-4,-3) -- plug the two pieces of information into the \"point-slope\" form:
\n" ); document.write( "y - y1 = m(x-x1)
\n" ); document.write( "y - (-3) = (-3/7)(x-(-4))
\n" ); document.write( "y + 3 = (-3/7)(x+4)
\n" ); document.write( "multiplying both sides by 7:
\n" ); document.write( "7y + 21 = -3(x+4)
\n" ); document.write( "7y + 21 = -3x - 12
\n" ); document.write( "7y = -3x - 33
\n" ); document.write( "y = (-3/7)x - 33/7 (this is what they're looking for)
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