document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=83878>Question 83878</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the slope and y intercept of the line?<BR>\n" );
document.write( "-2y = 3x - 15 <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #60355 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=60355\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given:<BR>\n" );
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document.write( "-2y = 3x - 15 <BR>\n" );
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document.write( "You can easily find the slope and the y-axis intercept if you can get the given equation<BR>\n" );
document.write( "in the form:<BR>\n" );
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document.write( "y = mx + b<BR>\n" );
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document.write( "In this form the slope is \"m\" and the y-axis intercept is \"b\"<BR>\n" );
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document.write( "To get the given equation into slope intercept form, you need to solve for +y. In this case<BR>\n" );
document.write( "the left side will become +y if you divide all terms on both sides of the given equation <BR>\n" );
document.write( "by -2. The process is as follows:<BR>\n" );
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document.write( "-2y = 3x - 15  <--- given equation<BR>\n" );
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document.write( "(-2y/-2) = (3x/-2) - (15/-2) <--- shows division of all terms by -2<BR>\n" );
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document.write( "y = -(3/2)x - (-15/2) <--- notice that - (-15/2) = + 15/2<BR>\n" );
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document.write( "y = -(3/2)x + (15/2)   <--- given equation in slope intercept form<BR>\n" );
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document.write( "By comparing this equation with the slope intercept form, you can see that \"m\" (the <BR>\n" );
document.write( "multiplier of the \"x\") is -3/2 and \"b\" the y-axis intercept is +15/2.  That's the answer<BR>\n" );
document.write( "to the problem.  As an aid to seeing that this is correct, here's a graph of the original<BR>\n" );
document.write( "equation in the problem:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-20%2C20%2C-20%2C20%2C%28-1%2F2%29%2A%283x-15%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-20%2C20%2C-20%2C20%2C%28-1%2F2%29%2A%283x-15%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Notice that the slope is negative and the value of y where the graph crosses the y-axis is<BR>\n" );
document.write( "about +7.5 or +15/2.<BR>\n" );
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document.write( "Hope this helps you to understand the problem a little more.<BR>\n" );
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