document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=548831>Question 548831</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I find the slope and y-intercept of the graph of an equation and then give the y-intercept as an ordered pair? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #357232 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=357232\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The first step is to get the equation into slope-intercept form to immediately see your answer to the slope and to the y-intercept.<BR>\n" );
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document.write( "y = m*x + b<BR>\n" );
document.write( "m = slope<BR>\n" );
document.write( "(0,b) = y-intercept<BR>\n" );
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document.write( "Let's assume you have the equation:<BR>\n" );
document.write( "2x + y = 4<BR>\n" );
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document.write( "Subtract 2x from both sides to get it into slope-intercept form.<BR>\n" );
document.write( "y = -2x + 4<BR>\n" );
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document.write( "You can observe:<BR>\n" );
document.write( "m = -2<BR>\n" );
document.write( "(0,4) = y-intercept.<BR>\n" );
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document.write( "You only need one more point to be able to draw a line.<BR>\n" );
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document.write( "A good candidate is to find the x-intercept, which is often asked for.<BR>\n" );
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document.write( "Set y = 0 and solve for x.<BR>\n" );
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document.write( "0 = -2x + 4<BR>\n" );
document.write( "2x = 4<BR>\n" );
document.write( "x = 2<BR>\n" );
document.write( "(2,0) = x-intercept<BR>\n" );
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document.write( "A graph is always useful.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28500%2C500%2C-5%2C5%2C-5%2C5%2C-2%2Ax%2B4%29+ ALIGN=MIDDLE  ALT=\"+graph%28500%2C500%2C-5%2C5%2C-5%2C5%2C-2%2Ax%2B4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Done. </SPAN>\n" );
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