document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=190730>Question 190730</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given: 3y+6x=12<BR>\n" );
document.write( "Solve the equation for y and graph the equation </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #143214 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=143214\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given: 3y+6x=12<BR>\n" );
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document.write( "Begin by subtracting 6x from both sides:<BR>\n" );
document.write( "3y+6x-6x = -6x+12<BR>\n" );
document.write( "3y = -6x+12<BR>\n" );
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document.write( "Now, divide both sides by 3:<BR>\n" );
document.write( "(3y)/3 = (-6x+12)/3<BR>\n" );
document.write( "y = -2x+4  (this is what they're looking for -- \"slope-intercept\" form)<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=2+x+%2B+1+y+=+4 ALIGN=MIDDLE  ALT=\"2+x+%2B+1+y+=+4\"   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+=+-2%2F1 ALIGN=MIDDLE  ALT=\"-a%2Fb+=+-2%2F1\"   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. 4/2 = 2.</LI><LI>Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 4/1 = 4.</LI><LI>Slope is -2/1 = -2.</LI><LI> Equation in slope-intercept form: y=-2*x+4.</LI></UL><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+500%2C+500%2C+2-8%2C+2%2B8%2C+4-8%2C+4%2B8%2C+-2%2Ax%2B4+%29+ ALIGN=MIDDLE  ALT=\"graph%28+500%2C+500%2C+2-8%2C+2%2B8%2C+4-8%2C+4%2B8%2C+-2%2Ax%2B4+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\n" );
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