document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=162827>Question 162827</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how would you graph<BR>\n" );
document.write( "x+5=10<BR>\n" );
document.write( "3x+4y<12<BR>\n" );
document.write( "x+2y=4<BR>\n" );
document.write( "y>-3, x>6<BR>\n" );
document.write( "y=8/3+4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #121443 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=121443\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> how would you graph<BR>\n" );
document.write( "x+5=10<BR>\n" );
document.write( "3x+4y<12<BR>\n" );
document.write( "x+2y=4<BR>\n" );
document.write( "y>-3, x>6<BR>\n" );
document.write( "y=8/3+4<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "These are all 1st order equations (2 are inequalities), which means the graphs are linear, a straight line.  All you need is 2 points, then draw a straight line thru them.<BR>\n" );
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document.write( "x+5 = 10<BR>\n" );
document.write( "x = 5<BR>\n" );
document.write( "No matter what the value of y, x is 5.  Pick 2 points, say (5,0) and (5,5).  Then draw a straight line thru them.  It will be parallel to the y-axis.<BR>\n" );
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document.write( "x+2y = 4<BR>\n" );
document.write( "Find 2 points.  The easiest way is to set x = 0 and solve for y, the set y = 0 and solve for x.<BR>\n" );
document.write( "0 + 2y = 4<BR>\n" );
document.write( "y = 2, so the point is (0,2)<BR>\n" );
document.write( "x +2*0 = 4<BR>\n" );
document.write( "x = 4, so the point is (4,0)<BR>\n" );
document.write( "Connect them with a straight line.<BR>\n" );
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document.write( "y=8/3+4<BR>\n" );
document.write( "y = 8/3 + 12/3<BR>\n" );
document.write( "y = 20/3<BR>\n" );
document.write( "Regardless of the value of x, y = 20/3<BR>\n" );
document.write( "This is a line parallel to the x-axis 20/3 units above it.<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "3x+4y<12<BR>\n" );
document.write( "To graph an inequality, solve for the 2 points with an equal sign first.<BR>\n" );
document.write( "Find 2 points.  The easiest way is to set x = 0 and solve for y, the set y = 0 and solve for x.<BR>\n" );
document.write( "3*0 + 4y = 12<BR>\n" );
document.write( "y = 3, so the point is (0,3)<BR>\n" );
document.write( "3x + 4*0 = 12<BR>\n" );
document.write( "x = 3, so the point is (3,0)<BR>\n" );
document.write( "Connect the 2 points with a straight line.  This is a line with a slope of -1, that is, y is decreasing as x increases.<BR>\n" );
document.write( "The area \"below\" the line is the area where 3x+4y is less than 12.  The line is where it is equal, and above it it is greater than.<BR>\n" );
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document.write( "y>-3, x>6<BR>\n" );
document.write( "Locate the point (6,-3).  The area above and to the right of the point satisfies the 2 conditions.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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