document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=82888>Question 82888</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What we need to do is graph each equation on a seperate coordinate grid.  Please show grid for the following:<BR>\n" );
document.write( "y=3x<BR>\n" );
document.write( "y=x-1<BR>\n" );
document.write( "y=2x-1\r<BR>\n" );
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document.write( "Please advise.  Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59516 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=59516\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To graph <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3x ALIGN=MIDDLE  ALT=\"y=3x\"   DISABLED_style= \"max-width:90%; height:auto;\" > we simply need two points to draw a line through. So lets find the first point:\r<BR>\n" );
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document.write( "Let x=0\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3%280%29 ALIGN=MIDDLE  ALT=\"y=3%280%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in x=0\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=0 ALIGN=MIDDLE  ALT=\"y=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "So we have a point (0,0)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C%0D%0A++grid%28+1+%29%2C%0D%0A++blue%28+circle%28+0%2C0%2C+.15%2C+1.5+%29%29%2C%0D%0A++blue%28+circle%28+0%2C0%2C+.1%2C+1.5+%29+%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Here is the point (0,0) plotted on a coordinate system\r<BR>\n" );
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document.write( "Now lets find the second point:\r<BR>\n" );
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document.write( "Let x=1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3%281%29 ALIGN=MIDDLE  ALT=\"y=3%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in x=6\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3 ALIGN=MIDDLE  ALT=\"y=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "So we have a point (1,3). Add this to our graph\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C%0D%0A++grid%28+1+%29%2C%0D%0A++blue%28+circle%28+1%2C3%2C+.15%2C+1.5+%29%29%2C%0D%0A++blue%28+circle%28+1%2C3%2C+.1%2C+1.5+%29+%29%2C%0D%0A++blue%28+circle%28+0%2C0%2C+.15%2C+1.5+%29%29%2C%0D%0A++blue%28+circle%28+0%2C0%2C+.1%2C+1.5+%29+%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Here are the points (0,0) and (1,3) plotted on a coordinate system\r<BR>\n" );
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document.write( "Now draw a straight line through these points\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C%0D%0A++grid%28+1+%29%2C%0D%0A++line%28-3%2C-9%2C3%2C9%29%2C%0D%0A++blue%28+circle%28+1%2C3%2C+.15%2C+1.5+%29%29%2C%0D%0A++blue%28+circle%28+1%2C3%2C+.1%2C+1.5+%29+%29%2C%0D%0A++blue%28+circle%28+0%2C0%2C+.15%2C+1.5+%29%29%2C%0D%0A++blue%28+circle%28+0%2C0%2C+.1%2C+1.5+%29+%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3x ALIGN=MIDDLE  ALT=\"y=3x\"   DISABLED_style= \"max-width:90%; height:auto;\" > with the points (0,0) and (1,3)\r<BR>\n" );
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document.write( "-------------------------------------------------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "To graph <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x-1 ALIGN=MIDDLE  ALT=\"y=x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > we simply need two points to draw a line through. So lets find the first point:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let x=0\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%280%29-1 ALIGN=MIDDLE  ALT=\"y=%280%29-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in x=0\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-1 ALIGN=MIDDLE  ALT=\"y=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract\r<BR>\n" );
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document.write( "So we have a point (0,-1)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C%0D%0A++grid%28+1+%29%2C%0D%0A++blue%28+circle%28+0%2C-1%2C+.15%2C+1.5+%29%29%2C%0D%0A++blue%28+circle%28+0%2C-1%2C+.1%2C+1.5+%29+%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Here is the point (0,-1) plotted on a coordinate system\r<BR>\n" );
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document.write( "\n" );
document.write( "Now lets find the second point:\r<BR>\n" );
document.write( "\n" );
document.write( "Let x=1\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%29-1 ALIGN=MIDDLE  ALT=\"y=%281%29-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in x=6\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=0 ALIGN=MIDDLE  ALT=\"y=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So we have a point (1,0). Add this to our graph\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C%0D%0A++grid%28+1+%29%2C%0D%0A++blue%28+circle%28+1%2C0%2C+.15%2C+1.5+%29%29%2C%0D%0A++blue%28+circle%28+1%2C0%2C+.1%2C+1.5+%29+%29%2C%0D%0A++blue%28+circle%28+0%2C-1%2C+.15%2C+1.5+%29%29%2C%0D%0A++blue%28+circle%28+0%2C-1%2C+.1%2C+1.5+%29+%29%0D%0A%29-1 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Here are the points (0,-1) and (1,0) plotted on a coordinate system\r<BR>\n" );
document.write( "\n" );
document.write( "Now draw a straight line through these points\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C%0D%0A++grid%28+1+%29%2C%0D%0A++line%28-10%2C-11%2C10%2C9%29%2C%0D%0A++blue%28+circle%28+1%2C0%2C+.15%2C+1.5+%29%29%2C%0D%0A++blue%28+circle%28+1%2C0%2C+.1%2C+1.5+%29+%29%2C%0D%0A++blue%28+circle%28+0%2C-1%2C+.15%2C+1.5+%29%29%2C%0D%0A++blue%28+circle%28+0%2C-1%2C+.1%2C+1.5+%29+%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x-1 ALIGN=MIDDLE  ALT=\"y=x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > with the points (0,-1) and (1,0)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-------------------------------------------------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "To graph <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2x-1 ALIGN=MIDDLE  ALT=\"y=2x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > we simply need two points to draw a line through. So lets find the first point:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let x=0\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2%280%29-1 ALIGN=MIDDLE  ALT=\"y=2%280%29-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in x=0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-1 ALIGN=MIDDLE  ALT=\"y=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply and subtract\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So we have a point (0,-1)\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C%0D%0A++grid%28+1+%29%2C%0D%0A++blue%28+circle%28+0%2C-1%2C+.15%2C+1.5+%29%29%2C%0D%0A++blue%28+circle%28+0%2C-1%2C+.1%2C+1.5+%29+%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Here is the point (0,0) plotted on a coordinate system\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now lets find the second point:\r<BR>\n" );
document.write( "\n" );
document.write( "Let x=1\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2%281%29-1 ALIGN=MIDDLE  ALT=\"y=2%281%29-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in x=6\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2-1 ALIGN=MIDDLE  ALT=\"y=2-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1 ALIGN=MIDDLE  ALT=\"y=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So we have a point (1,1). Add this to our graph\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C%0D%0A++grid%28+1+%29%2C%0D%0A++blue%28+circle%28+1%2C1%2C+.15%2C+1.5+%29%29%2C%0D%0A++blue%28+circle%28+1%2C1%2C+.1%2C+1.5+%29+%29%2C%0D%0A++blue%28+circle%28+0%2C-1%2C+.15%2C+1.5+%29%29%2C%0D%0A++blue%28+circle%28+0%2C-1%2C+.1%2C+1.5+%29+%29%0D%0A%29-1 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Here are the points (0,-1) and (1,1) plotted on a coordinate system\r<BR>\n" );
document.write( "\n" );
document.write( "Now draw a straight line through these points\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C%0D%0A++grid%28+1+%29%2C%0D%0A++line%28-10%2C-21%2C10%2C19%29%2C%0D%0A++blue%28+circle%28+1%2C1%2C+.15%2C+1.5+%29%29%2C%0D%0A++blue%28+circle%28+1%2C1%2C+.1%2C+1.5+%29+%29%2C%0D%0A++blue%28+circle%28+0%2C-1%2C+.15%2C+1.5+%29%29%2C%0D%0A++blue%28+circle%28+0%2C-1%2C+.1%2C+1.5+%29+%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2x-1 ALIGN=MIDDLE  ALT=\"y=2x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > with the points (0,-1) and (1,1) </SPAN>\n" );
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