document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=377880>Question 377880</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello!  I am trying to find the slope-intercept form of the equation of the line through the point (-1, 2) parallel to the lind -4x-9y=-7.  Thank so much! I seem to be completely confused on this concept.  \r<BR>\n" );
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document.write( "Denise Bissell  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #268494 by </B><A HREF=/tutors/aboutme.mpl?userid=nyc_function><B>nyc_function(2741)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nyc_function><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=nyc_function><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=268494\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The first thing to do is isolate y in the given equation.\r<BR>\n" );
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document.write( "-4x - 9y = -7\r<BR>\n" );
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document.write( "-9y = 4x - 7\r<BR>\n" );
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document.write( "y = (-4/9)x + 7/9\r<BR>\n" );
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document.write( "The equation we are searching for must have the same slope as the equation<BR>\n" );
document.write( "y = (-4/9)x + 7/9 because equations that are parallel to each other have the same slope.  The slope is the fraction next to x.  In other words, the slope is (-4/9).\r<BR>\n" );
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document.write( "We now use the given point (-1,2) and the slope (-4/9) and plug that into the point-slope formula.\r<BR>\n" );
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document.write( "y - d = m(x - c)...This is the point-slope formula.  In your math book, the formula probably looks like this: y - y1 = m(x - x1) but it does not matter which letters we use in the formula.  \r<BR>\n" );
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document.write( "Given point is (-1,2) = (c,d).\r<BR>\n" );
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document.write( "The slope is m = (-4/9)\r<BR>\n" );
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document.write( "We now plug and chug.\r<BR>\n" );
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document.write( "y - 2 = (-4/9)(x - (-1))\r<BR>\n" );
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document.write( "y - 2 = (-4/9)(x + 1)\r<BR>\n" );
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document.write( "y - 2 = (-4/9)x -4/9\r<BR>\n" );
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document.write( "y = (-4/9)x - 4/9 + 2\r<BR>\n" );
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document.write( "y = (-4/9)x + 14/9\r<BR>\n" );
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document.write( "Done! \r<BR>\n" );
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