document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1125800>Question 1125800</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Plot the graph of the equation 5x+2y=100 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #742107 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=742107\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=\"black\" face=\"times\" size=\"3\"><BR>\n" );
document.write( "5x+2y=100<BR>\n" );
document.write( "5*0+2y=100 ... plug in x = 0<BR>\n" );
document.write( "0+2y = 100<BR>\n" );
document.write( "2y = 100<BR>\n" );
document.write( "2y/2 = 100/2 .... divide both sides by 2<BR>\n" );
document.write( "y = 50<BR>\n" );
document.write( "So x = 0 and y = 50 pair up to get (x,y) = (0,50) as one point on this line. This is the y intercept and it is shown as point A on the graph below.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "5x+2y=100<BR>\n" );
document.write( "5x+2*0=100 ... plug in y = 0<BR>\n" );
document.write( "5x+0 = 100<BR>\n" );
document.write( "5x = 100<BR>\n" );
document.write( "5x/5 = 100/5 .... divide both sides by 5<BR>\n" );
document.write( "x = 20<BR>\n" );
document.write( "So x = 20 and y = 0 pair up to get (x,y) = (0,50) as another point on this line. This is the x intercept and it is shown as point B on the graph below.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"https://i.imgur.com/p0Lu6JS.png\"><BR>\n" );
document.write( "-------------------------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Note: if you need to solve for y and get the equation into y = mx+b form (slope intercept form), then you could follow these steps<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2B2y+=+100 ALIGN=MIDDLE  ALT=\"5x%2B2y+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2B2y-5x+=+100-5x ALIGN=MIDDLE  ALT=\"5x%2B2y-5x+=+100-5x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 5x from both sides\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y+=+-5x%2B100 ALIGN=MIDDLE  ALT=\"2y+=+-5x%2B100\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282y%29%2F2+=+%28-5x%2B100%29%2F2 ALIGN=MIDDLE  ALT=\"%282y%29%2F2+=+%28-5x%2B100%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 2\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+=+%28-5x%29%2F2%2B%28100%29%2F2 ALIGN=MIDDLE  ALT=\"y+=+%28-5x%29%2F2%2B%28100%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the fraction\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+=+%28-5%2F2%29x%2B50 ALIGN=MIDDLE  ALT=\"y+=+%28-5%2F2%29x%2B50\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce<BR>\n" );
document.write( "The equation is now in y = mx+b form<BR>\n" );
document.write( "We see that the slope is m = -5/2 and the y intercept is b = 50 as shown above (point A)<BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );