document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=802495>Question 802495</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm trying to help my stepson with his math. It is graphing. The question is y= -2x+7. I'm not sure how to graph this. Could you show me the steps to solving this problem ? 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 #483901 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=483901\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Linear equations, such as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+-2x%2B7 ALIGN=MIDDLE  ALT=\"y=+-2x%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" > graph as straight lines.<BR>\n" );
document.write( "To graph the line, you just need to determine two points and connect them with a straight line.<BR>\n" );
document.write( "However, some teachers may insist on having more points.<BR>\n" );
document.write( "They may like their work shown in a certain way, maybe with a table of x and y values.<BR>\n" );
document.write( "Your stepson may know if the teacher has some special requirements.<BR>\n" );
document.write( "It is a good idea to use grid paper, or graph paper.<BR>\n" );
document.write( "You can but the paper, or you can download and print some nice graphing papers.<BR>\n" );
document.write( "I used to print those for my children (now in college and beyond).<BR>\n" );
document.write( " <BR>\n" );
document.write( "I will show you how to calculate a few points, put them on a table, plot the points, and draw the line.<BR>\n" );
document.write( "(The teacher may prefer a different style, but I hope this helps.<BR>\n" );
document.write( " <BR>\n" );
document.write( "For <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;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-2%2A0%2B7 ALIGN=MIDDLE  ALT=\"y+=+-2%2A0%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=0%2B7 ALIGN=MIDDLE  ALT=\"y=0%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=7 ALIGN=MIDDLE  ALT=\"y=7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That gives you the point (0,7), with <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 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=7 ALIGN=MIDDLE  ALT=\"y=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "(That point and the value for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7 ALIGN=MIDDLE  ALT=\"7\"   DISABLED_style= \"max-width:90%; height:auto;\" > are often called the y-intercept, because it is the point where the line crosses the y-axis).<BR>\n" );
document.write( " <BR>\n" );
document.write( "For <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3 ALIGN=MIDDLE  ALT=\"x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2%2A3%2B7 ALIGN=MIDDLE  ALT=\"y=2%2A3%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=6%2B7 ALIGN=MIDDLE  ALT=\"y=6%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=13 ALIGN=MIDDLE  ALT=\"y=13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That gives you the point (3,13), with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3 ALIGN=MIDDLE  ALT=\"x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=13 ALIGN=MIDDLE  ALT=\"y=13\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( " <BR>\n" );
document.write( "For <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-5 ALIGN=MIDDLE  ALT=\"x=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2%2A%28-5%29 ALIGN=MIDDLE  ALT=\"y=2%2A%28-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-10%2B7 ALIGN=MIDDLE  ALT=\"y=-10%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <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;\" ><BR>\n" );
document.write( "That gives you the point (-5,-3), with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-5 ALIGN=MIDDLE  ALT=\"x=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <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;\" >.<BR>\n" );
document.write( " <BR>\n" );
document.write( "A table with just those 3 points would look like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%282%2C4%2Cx%2C-5%2C0%2C3%2Cy%2C-3%2C7%2C13%29 ALIGN=MIDDLE  ALT=\"matrix%282%2C4%2Cx%2C-5%2C0%2C3%2Cy%2C-3%2C7%2C13%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(I made the table horizontal with the x values on the top row, and the corresponding y value below each x value. The teacher may want the table vertical with the x values on the left column, and the y values in another column, each y to the right of the corresponding x).<BR>\n" );
document.write( " <BR>\n" );
document.write( "The graph would look like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-10%2C10%2C-6%2C14%2C%0D%0Agrid%281%29%2Cblue%28circle%28-5%2C-3%2C0.4%29%29%2C%0D%0Ablue%28circle%280%2C7%2C0.4%29%29%2Cblue%28circle%283%2C13%2C0.4%29%29%2C%0D%0Ablue%28line%28-10%2C-13%2C10%2C27%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "NOTES:<BR>\n" );
document.write( "I made rather big circles around the points (-5,3), (0,7), and (3,13) to make them more visible.<BR>\n" );
document.write( "The teacher may like less obvious markings or no visible marking at all.<BR>\n" );
document.write( "Not having graph paper, or grid paper, I drew a grid the best way I could do it. Unfortunately, my grid lines do not go through the points calculated, but if I were the teacher, this would be an acceptable graph. </SPAN>\n" );
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