document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=182500>Question 182500</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Do the graphical representation for the following equation:<BR>\n" );
document.write( "y-2/3x=-1/2\r<BR>\n" );
document.write( "\n" );
document.write( "Please supply a detailed explanation. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #137013 by </B><A HREF=/tutors/aboutme.mpl?userid=jojo14344><B>jojo14344(1513)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jojo14344><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=137013\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> </pre><font size=4><b><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-%282%2F3%29x=-1%2F2 ALIGN=MIDDLE  ALT=\"y-%282%2F3%29x=-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It follows Slope-Intercept Form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=mx%2Bb%29 ALIGN=MIDDLE  ALT=\"system%28y=mx%2Bb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%282%2F3%29x-%281%2F2%29 ALIGN=MIDDLE  ALT=\"y=%282%2F3%29x-%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28m=Slope=Rise%2FRun=2%2F3%2Cb=YIntercept=-1%2F2%29 ALIGN=MIDDLE  ALT=\"system%28m=Slope=Rise%2FRun=2%2F3%2Cb=YIntercept=-1%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We see the graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-5%2C5%2C-5%2C5%2Cgrid%281%29%2Cgraph%28300%2C300%2C-5%2C5%2C-5%2C5%29%2Ccircle%280%2C-1%2F2%2C.12%29%2Cgreen%28locate%281%2F4%2C-1%2F2%2CyIntercept%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now, having <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Slope=m=2%2F3 ALIGN=MIDDLE  ALT=\"Slope=m=2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, means \"Rise\" on the Y-Axis of \"2\"--->UP or DOWN in the increment of \"2\" from the Y-Intercept.<BR>\n" );
document.write( "From <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F2 ALIGN=MIDDLE  ALT=\"-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, UP by \"2\" is \"1-1/2=1.50\" right?<BR>\n" );
document.write( "Next, \"RUN\" means on the X -Axis of increment of \"3\".<BR>\n" );
document.write( "From <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F2 ALIGN=MIDDLE  ALT=\"-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, since it's Y-Intercept, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and follows point (0,-1/2)right? So \"RUN\" meaning to the left or right of the X-Axis and we'll go the right first. So from \"0\" moving \"3\", X-intercept will be \"3\".<BR>\n" );
document.write( "So our first point from the Y-Intrecept is (x,y)=(3,1.5)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Next, again 3 steps to the right of X-axis= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2B3=highlight%286%29 ALIGN=MIDDLE  ALT=\"3%2B3=highlight%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Also, 2 steps Up of the Y-Axis=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5%2B2=highlight%283.5%29 ALIGN=MIDDLE  ALT=\"1.5%2B2=highlight%283.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Next point,-------> (6,3.5)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Next, again 3 steps on the X-axis=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2B3=highlight%289%29 ALIGN=MIDDLE  ALT=\"6%2B3=highlight%289%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Also, 2 steps Up on the Y-Axis=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.5%2B2=highlight%285.5%29 ALIGN=MIDDLE  ALT=\"3.5%2B2=highlight%285.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Next point,-----------> (9,5.5)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "We now go the \"Left\" and \"Down\" from the Y-Interecept.<BR>\n" );
document.write( "From \"0\" to the left of 3 steps=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28-3%29 ALIGN=MIDDLE  ALT=\"highlight%28-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From \"-1/2\" down 2=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28-2.5%29 ALIGN=MIDDLE  ALT=\"highlight%28-2.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So our point will be --------> (-3,-2.5)<BR>\n" );
document.write( "Next, 3 more steps to the left=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2B-3=highlight%28-6%29 ALIGN=MIDDLE  ALT=\"-3%2B-3=highlight%28-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Also, 2 steps more down=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2.5%2B-2=highlight%28-4.5%29 ALIGN=MIDDLE  ALT=\"-2.5%2B-2=highlight%28-4.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Point will be ,---------> (-6,-4,5)<BR>\n" );
document.write( "Again, 3 more steps ot the left=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6%2B-3=highlight%28-9%29 ALIGN=MIDDLE  ALT=\"-6%2B-3=highlight%28-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Also, 2 more steps down=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4.5%2B-2=highlight%28-6.5%29 ALIGN=MIDDLE  ALT=\"-4.5%2B-2=highlight%28-6.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Point will be,---------> (-9,-6.5)<BR>\n" );
document.write( "Now we plot all Points:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-10%2C10%2C-10%2C10%2Cgrid%281%29%2Cgraph%28-10%2C10%2C-10%2C10%2C%282%2F3%29x-1%2F2%29%2Ccircle%280%2C-1%2F2%2C.15%29%2Cgreen%28circle%283%2C1.5%2C.15%29%29%2Cgreen%28circle%286%2C3.5%2C.15%29%29%2Cgreen%28circle%289%2C5.5%2C.15%29%29%2Cgreen%28circle%28-3%2C-2.5%2C.15%29%29%2Cgreen%28circle%28-6%2C-4.5%2C.15%29%29%2Cgreen%28circle%28-9%2C-6.5%2C.15%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >----><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-10%2C10%2C-10%2C10%2Cgrid%281%29%2Cgraph%28400%2C400%2C-10%2C10%2C-10%2C10%2C%282%2F3%29x-1%2F2%29%2Ccircle%280%2C-1%2F2%2C.15%29%2Cgreen%28circle%283%2C1.5%2C.15%29%29%2Cgreen%28circle%286%2C3.5%2C.15%29%29%2Cgreen%28circle%289%2C5.5%2C.15%29%29%2Cgreen%28circle%28-3%2C-2.5%2C.15%29%29%2Cgreen%28circle%28-6%2C-4.5%2C.15%29%29%2Cgreen%28circle%28-9%2C-6.5%2C.15%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Thank you,<BR>\n" );
document.write( "Jojo</pre><BR>\n" );
document.write( " </SPAN>\n" );
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