document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=38430>Question 38430</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Graphing Linear Equations:<BR>\n" );
document.write( "Draw the graph of each equation: <BR>\n" );
document.write( "3x-4y=12<BR>\n" );
document.write( "y=2x<BR>\n" );
document.write( "y-6=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #24073 by </B><A HREF=/tutors/aboutme.mpl?userid=lyra><B>lyra(94)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lyra><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=lyra><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=24073\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Please only put one question per submission.  Try to use the solver below for your other problems, if you still need help don't hesitate to contact me.\r<BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=describe_linear_equation.solver>DESCRIBE a linear EQUATION: slope, intercepts, etc</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+x+%2B+-4+y+=+12 ALIGN=MIDDLE  ALT=\"3+x+%2B+-4+y+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" > describes a sloping line. For any <BR>\n" );
document.write( "  equation ax+by+c = 0, slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-a%2Fb+=+-3%2F-4 ALIGN=MIDDLE  ALT=\"-a%2Fb+=+-3%2F-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<UL><LI>X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x =  c/a. 12/3 = 4.</LI><LI>Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 12/-4 = -3.</LI><LI>Slope is -3/-4 = 0.75.</LI><LI> Equation in slope-intercept form: y=0.75*x+-3.</LI></UL><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+500%2C+500%2C+4-8%2C+4%2B8%2C+-3-8%2C+-3%2B8%2C+0.75%2Ax%2B-3+%29+ ALIGN=MIDDLE  ALT=\"graph%28+500%2C+500%2C+4-8%2C+4%2B8%2C+-3-8%2C+-3%2B8%2C+0.75%2Ax%2B-3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\n" );
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document.write( "Hope this helps and feel free to contact me with further questions,<BR>\n" );
document.write( "lyra </SPAN>\n" );
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