document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=468133>Question 468133</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the slope, if it exists:\r<BR>\n" );
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document.write( "y=-8x+4  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #321205 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=321205\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> equation is y = -8x + 4<BR>\n" );
document.write( "equation is in slope intercept form of y = mx + b<BR>\n" );
document.write( "m is the slope and b is the y intercept<BR>\n" );
document.write( "that makes the slope in your equation equal to -8 and the y intercept in your equation equal to 4.<BR>\n" );
document.write( "a graph of your equation is shown below:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-2%2C2%2C-10%2C10%2C-8x%2B4%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C-2%2C2%2C-10%2C10%2C-8x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "you can see that the y intercept is 4.<BR>\n" );
document.write( "this is the value of y when x = 0.<BR>\n" );
document.write( "to determine whether the slope is accurate, look at the graph when x = 0 and when <BR>\n" );
document.write( "y = 0.<BR>\n" );
document.write( "you may not be able to see the numbers clearly from the graph, so solve the equation for the values you can't see.<BR>\n" );
document.write( "when x = 0, y = 4 (that's the y intercept we looked at earlier).<BR>\n" );
document.write( "when y = 0, the equation becomes 0 = -8x + 4<BR>\n" );
document.write( "add x to both sides of this equation to get 8x = 4<BR>\n" );
document.write( "divide both sides of this equation by 8 to get x = 1/2<BR>\n" );
document.write( "so we have 2 points.<BR>\n" );
document.write( "they are:<BR>\n" );
document.write( "x1 = 0, y1 = 4<BR>\n" );
document.write( "and:<BR>\n" );
document.write( "x2 = 1/2, y2 = 0<BR>\n" );
document.write( "the slope of the equation of a line is (y2-y1)/(x2-x1)<BR>\n" );
document.write( "based on the points that we have, this equation becomes (0 - 4) / (1/2 - 0) which becomes (-4) / (1/2) which becomes -8.<BR>\n" );
document.write( "the slope is -8 confirming the slope intercept form of the equation gave us the right answer.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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