document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=678935>Question 678935</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find n such that the slope of the line containing (7,-12) and (n n+4) is parallel to 2x+y+8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #421702 by </B><A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><B>ReadingBoosters(3246)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=421702\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Start with 2x+y+8, is this 2x+y+8=0 or 2x+y=8 ???<BR>\n" );
document.write( "y = -2x-8<BR>\n" );
document.write( "Therefore, the slope is -2<BR>\n" );
document.write( "...<BR>\n" );
document.write( "A parallel line will have the SAME slope<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Using the point(7,-12) and the determined slope apply point slope formula<BR>\n" );
document.write( "y--12 = -2(x-7)<BR>\n" );
document.write( "y+12 = -2(x-7)<BR>\n" );
document.write( "y+12 = -2x+14<BR>\n" );
document.write( "y = -2x + 14 - 12<BR>\n" );
document.write( "y = -2x + 2<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Applying the n variable point<BR>\n" );
document.write( "n+4 = -2n + 2<BR>\n" );
document.write( "solve for n<BR>\n" );
document.write( "n + 2n = 2 - 4<BR>\n" );
document.write( "3n = -2<BR>\n" );
document.write( "n = -<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "Alternatively, applying the slope formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-12-%28n%2B4%29%29%2F%287-n%29+=+-2%2F1 ALIGN=MIDDLE  ALT=\"%28-12-%28n%2B4%29%29%2F%287-n%29+=+-2%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-12-n-4%29%2F%287-n%29+=+-2%2F1 ALIGN=MIDDLE  ALT=\"%28-12-n-4%29%2F%287-n%29+=+-2%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-16-n%29%2F%287-n%29+=+-2%2F1 ALIGN=MIDDLE  ALT=\"%28-16-n%29%2F%287-n%29+=+-2%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cross multiply<BR>\n" );
document.write( "(-16-n) = -2(7-n)<BR>\n" );
document.write( "-16 - n = -14 + 2n<BR>\n" );
document.write( "solve for n<BR>\n" );
document.write( "-16 + 14 = 2n + n<BR>\n" );
document.write( "-2 = 3n<BR>\n" );
document.write( "n = -<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".....................<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );