document.write( "Question 419661: I always get stuck on this one part of this type of equation and was hoping for an explanation as to how to get past this one point.\r
\n" ); document.write( "\n" ); document.write( "(3,-8); 6x + 7y = 3
\n" ); document.write( "I do fine until I get to...
\n" ); document.write( "y-(-8) = -7/6x -21/6
\n" ); document.write( "the instructions say to add 8 to both sides
\n" ); document.write( "which leaves y = -7/6, but am unable to finish the equation as neither adding or subtracting -8 nor 8 makes the answer correct or make sense to me.
\n" ); document.write( "I'm at a loss and am wondering if you could explain to me in simple terms what I am doing wrong or how to finish this equation.
\n" ); document.write( "Thank you for any help.
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Algebra.Com's Answer #293424 by nerdybill(7384)\"\" \"About 
You can put this solution on YOUR website!
(3,-8); 6x + 7y = 3
\n" ); document.write( "I do fine until I get to...
\n" ); document.write( "y-(-8) = -7/6x -21/6
\n" ); document.write( "the instructions say to add 8 to both sides
\n" ); document.write( ".
\n" ); document.write( "You don't say, but I think your original problem is asking you for the formula that crosses a certain point and is parallel to a line.
\n" ); document.write( "(3,-8); 6x + 7y = 3
\n" ); document.write( ".
\n" ); document.write( "first find slope of:
\n" ); document.write( "6x + 7y = 3
\n" ); document.write( "7y = -6x + 3
\n" ); document.write( "y = (-6/7)x + 3/7
\n" ); document.write( "slope is -6/7
\n" ); document.write( ".
\n" ); document.write( "A line parallel must have the same slope.
\n" ); document.write( "So, now we have
\n" ); document.write( "slope is -6/7
\n" ); document.write( "and
\n" ); document.write( "one point:
\n" ); document.write( "(3,-8)
\n" ); document.write( ".
\n" ); document.write( "Plug into the \"point-slope\" form:
\n" ); document.write( "y - y1 = m(x - x1)
\n" ); document.write( "y - (-8) = (-6/7)(x - 3)
\n" ); document.write( "y + 8 = (-6/7)x + 18/7
\n" ); document.write( "Now, we subtract 8 from both sides:
\n" ); document.write( "y = (-6/7)x + 18/7 - 8
\n" ); document.write( "y = (-6/7)x + 18/7 - 56/7
\n" ); document.write( "y = (-6/7)x - 38/7 (this is what they're looking for)
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