document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=201739>Question 201739</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you solve the systems of linear equations using the graphing method?<BR>\n" );
document.write( "I understand the elimination method and etc., but I do not get how to solve using the graphing method.\r<BR>\n" );
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document.write( "I know that the first step is putting it in slope-intercept form, but the graphing part I am having trouble with. How do you graph it exactly? Is there a specific way to plot points?\r<BR>\n" );
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document.write( "For example, how do you solve for this:\r<BR>\n" );
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document.write( "4x+2y=8<BR>\n" );
document.write( "y=-2x+6\r<BR>\n" );
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document.write( "So far I tried doing it, and I've gotten the answer (3,2) but I did it again and there was no solution because it was parrallel. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #151973 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=151973\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4x+2y=8<BR>\n" );
document.write( "y=-2x+6 <BR>\n" );
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document.write( "Plot two points for each equation:<BR>\n" );
document.write( "For 4x + 2y = 8<BR>\n" );
document.write( "Let x = 0, then y = 4 giving you point (0,4)<BR>\n" );
document.write( "Let x = 1, then y = 2 giving you point (1,2)<BR>\n" );
document.write( "Plot those two points and draw a line thru them to get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-2x%2B4%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-2x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "For y = -2x + 6<BR>\n" );
document.write( "Let x = 0, then y = 6 giving you point (0,6)<BR>\n" );
document.write( "Let x = 1, then y = 4 giving you point (1,4)<BR>\n" );
document.write( "Plot those two points and draw a line thru them to get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-2x%2B6%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-2x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Estimate the point of intersection as best you can.<BR>\n" );
document.write( "Check it in the two equations.<BR>\n" );
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document.write( "Ans: There is no intersection as the two lines have the <BR>\n" );
document.write( "same slope and have different y-intercepts.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );