document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=159643>Question 159643</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780741913647/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The point (3,2) lies on a line with slope -1/3.\r<BR>\n" );
document.write( "\n" );
document.write( "Graph this line by finding anoher point that lies on the line. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #117716 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=117716\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The basic definition of slope is: change in y / change in x<BR>\n" );
document.write( "It is given that this equals <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%281%2F3%29 ALIGN=MIDDLE  ALT=\"-%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Also given is the point (3,2)<BR>\n" );
document.write( "I can say <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282+-+y%5B1%5D%29+%2F+%283+-+x%5B1%5D%29+=+-%281%2F3%29 ALIGN=MIDDLE  ALT=\"%282+-+y%5B1%5D%29+%2F+%283+-+x%5B1%5D%29+=+-%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Suppose I say <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B1%5D+=+3 ALIGN=MIDDLE  ALT=\"y%5B1%5D+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now I have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282+-+3%29+%2F+%283+-+x%5B1%5D%29+=+-%281%2F3%29 ALIGN=MIDDLE  ALT=\"%282+-+3%29+%2F+%283+-+x%5B1%5D%29+=+-%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29+%2F+%283+-+x%5B1%5D%29+=+-%281%2F3%29 ALIGN=MIDDLE  ALT=\"%28-1%29+%2F+%283+-+x%5B1%5D%29+=+-%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For this to be true, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D ALIGN=MIDDLE  ALT=\"x%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > has to be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29+%2F+%283+-+0%29+=+-%281%2F3%29 ALIGN=MIDDLE  ALT=\"%28-1%29+%2F+%283+-+0%29+=+-%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So this line also goes through (0,3)<BR>\n" );
document.write( "Now just connect (3,2) and (0,3) to graph the line<BR>\n" );
document.write( "I can check by finding the equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+mx+%2B+b ALIGN=MIDDLE  ALT=\"y+=+mx+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+=+-%281%2F3%29%2A3+%2B+b ALIGN=MIDDLE  ALT=\"2+=+-%281%2F3%29%2A3+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+=+-%281%2F3%29%2A0+%2B+b ALIGN=MIDDLE  ALT=\"3+=+-%281%2F3%29%2A0+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From the 2nd equation I get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+3 ALIGN=MIDDLE  ALT=\"b+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+=+-%281%2F3%29%2A3+%2B+b ALIGN=MIDDLE  ALT=\"2+=+-%281%2F3%29%2A3+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+=+-1+%2B+b ALIGN=MIDDLE  ALT=\"2+=+-1+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+3 ALIGN=MIDDLE  ALT=\"b+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > so,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-%281%2F3%29x+%2B+3 ALIGN=MIDDLE  ALT=\"y+=+-%281%2F3%29x+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > This is the general equation<BR>\n" );
document.write( "check for (0,3)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+=+-%281%2F3%29%2A0+%2B+3 ALIGN=MIDDLE  ALT=\"3+=+-%281%2F3%29%2A0+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+=+3 ALIGN=MIDDLE  ALT=\"3+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );