document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=472713>Question 472713</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write in slope intercept  (if possible ) & graph<BR>\n" );
document.write( "x - 2y = 8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #324063 by </B><A HREF=/tutors/aboutme.mpl?userid=Bill+M+Wilcox><B>Bill M Wilcox(2)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Bill+M+Wilcox><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=324063\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <p>In this problem you are looking at a linear equation in two variables (x and y). This is an equation which can be written in the form Ax + By = C. You can see this by writing it as 1x + (-2)y = 8, so that A = 1, B = -2, and C = 8. It is called a linear equation because the graph of this kind of equation is a straight line, if it exists.</p><BR>\n" );
document.write( "<p>To write this equation in slope-intercept form, just manipulate it so that y is isolated on one side of the equation (this is the same as solving for y), like this:</p><BR>\n" );
document.write( "<p><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-+2y+=+8 ALIGN=MIDDLE  ALT=\"x+-+2y+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2y+=+8+-+x ALIGN=MIDDLE  ALT=\"-2y+=+8+-+x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "     <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-4+%2B+x%2F2 ALIGN=MIDDLE  ALT=\"y+=+-4+%2B+x%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "     <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x%2F2+-+4 ALIGN=MIDDLE  ALT=\"y+=+x%2F2+-+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ></p><BR>\n" );
document.write( "<p>This is called the slope-intercept form because it displays the slope of the straight line determined by this equation (the coefficient of x, which is 1/2 in this case), and the y-intercept (the y-value where the graph intercepts the y-axis, which is -4 in this case). Consult your textbook or speak with your teacher or fellow students for more information about this type of equation.</p><BR>\n" );
document.write( "<p>To graph a linear equation in two variables, you really only need two points. One point, the y-intercept, is given by setting x to 0 and solving for y:</p><BR>\n" );
document.write( "<p><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x%2F2+-+4 ALIGN=MIDDLE  ALT=\"y+=+x%2F2+-+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+0%2F2+-+4 ALIGN=MIDDLE  ALT=\"y+=+0%2F2+-+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+0+-+4 ALIGN=MIDDLE  ALT=\"y+=+0+-+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-4 ALIGN=MIDDLE  ALT=\"y+=+-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ></p><BR>\n" );
document.write( "<p>The y-intercept is therefore (0,-4) since, when x=0, y=-4.</p><BR>\n" );
document.write( "<p>A second point is given by setting y to 0 and then solving for x:</p><BR>\n" );
document.write( "<p><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x%2F2+-+4 ALIGN=MIDDLE  ALT=\"y+=+x%2F2+-+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+x%2F2+-+4 ALIGN=MIDDLE  ALT=\"0+=+x%2F2+-+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+=+x%2F2 ALIGN=MIDDLE  ALT=\"4+=+x%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8+=+x ALIGN=MIDDLE  ALT=\"8+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" ></p><BR>\n" );
document.write( "<p>The x-intercept is therefore (8,0) since, when y=0, x=8.</p><BR>\n" );
document.write( "<p>Now that you have two points, you can just plot them on a pair of coordinate axes and draw the straight line that goes through both of them (there can only be one).</p>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+x%2F2-4%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+x%2F2-4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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