document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=93723>Question 93723</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Y=-5/6X+3 WHAT IS THE SLOPE AND THE Y-INTERCEPT OF THIS GRAPH. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #68541 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=68541\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A commonly used format for linear equations is the slope-intercept form.  It is given by<BR>\n" );
document.write( "the equation:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+mx+%2B+b ALIGN=MIDDLE  ALT=\"y+=+mx+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "in which m (the multiplier of the x term) is the slope of the graph and b is the y-intercept<BR>\n" );
document.write( "which is the value of y where the graph crosses the y-axis.<BR>\n" );
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document.write( "In your problem you are given the equation:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-5%2F6%29x+%2B+3 ALIGN=MIDDLE  ALT=\"y+=+%28-5%2F6%29x+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "By comparing this equation with the slope-intercept form, you can see that the multiplier<BR>\n" );
document.write( "of x in the slope-intercept equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m ALIGN=MIDDLE  ALT=\"m\"   DISABLED_style= \"max-width:90%; height:auto;\" > and in the problem you were given it is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%2F6 ALIGN=MIDDLE  ALT=\"-5%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "That means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m ALIGN=MIDDLE  ALT=\"m\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is the slope must be equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-5%29%2F6 ALIGN=MIDDLE  ALT=\"%28-5%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Then you can look at the constant in the equation you were given. That constant is +3,<BR>\n" );
document.write( "and this compares to the + b (the y-intercept) in the slope-intercept equation.<BR>\n" );
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document.write( "Therefore, you can say that the y-intercept is +3.<BR>\n" );
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document.write( "In summary, the slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-5%29%2F6 ALIGN=MIDDLE  ALT=\"%28-5%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the y-intercept is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > for the graph.<BR>\n" );
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document.write( "Hope this helps you to work your way through the problem.<BR>\n" );
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document.write( " </SPAN>\n" );
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