document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=55070>Question 55070</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you solve y when doing this equation on a graph? (2x - 3y = 12) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #37296 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=37296\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How do you solve y when doing this equation on a graph? (2x - 3y = 12)<BR>\n" );
document.write( "I'm not sure what you mean.  I'm going to do this two ways.  Maybe one of them is what you need.<BR>\n" );
document.write( "You can graph this by the intercept method.<BR>\n" );
document.write( "Let x=0 and solve for y:<BR>\n" );
document.write( "2(0)-3y=12<BR>\n" );
document.write( "0-3y=12<BR>\n" );
document.write( "-3y=12<BR>\n" );
document.write( "-3y/-3=12/-3<BR>\n" );
document.write( "y=-4<BR>\n" );
document.write( "Plot (0,-4)<BR>\n" );
document.write( "Let y=0 and solve for x:<BR>\n" );
document.write( "2x-3(0)=12<BR>\n" );
document.write( "2x-0=12<BR>\n" );
document.write( "2x=12<BR>\n" );
document.write( "2x/2=12/2<BR>\n" );
document.write( "x=6<BR>\n" );
document.write( "Plot (6,0)<BR>\n" );
document.write( "Connect the dots and you have a line.<BR>\n" );
document.write( "----------------------------------------------------------<BR>\n" );
document.write( "Another way to do this is to put the equation in slope intercept form, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=mx%2Bb%29 ALIGN=MIDDLE  ALT=\"highlight%28y=mx%2Bb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where m=slope and (0,b) is the y-intercept.<BR>\n" );
document.write( "Solve the equation for y:<BR>\n" );
document.write( "2x-3y=12<BR>\n" );
document.write( "-2x+2x-3y=-2x+12<BR>\n" );
document.write( "0-3y=-2x+12<BR>\n" );
document.write( "-3y=-2x+12<BR>\n" );
document.write( "-3y/-3=-2x/-3+12/-3<BR>\n" );
document.write( "y=(2/3)x-4<BR>\n" );
document.write( "Plot (0,-4)<BR>\n" );
document.write( "Frome that point use the slope, m=rise/run=2/3 and go up 2 and right 3 and put another point at (3,-2)<BR>\n" );
document.write( "Connect the points and you should have a line that looks like:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C%282%2F3%29x-4%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C%282%2F3%29x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );