document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=83392>Question 83392</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write the equation of the line L satisfying the given geometric conditions.<BR>\n" );
document.write( "L has y intercept (0,-3) and is parallel to the line with equation y=2/3x + 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59894 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=59894\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given a line:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%282%2F3%29x%2B1 ALIGN=MIDDLE  ALT=\"y+=+%282%2F3%29x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "This is in the slope-intercept form:<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 x) is the slope of the line and b is the value of y at the <BR>\n" );
document.write( "point the graph of the line crosses the y-axis.<BR>\n" );
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document.write( "By comparing the slope intercept form with the given equation you can see that in the given<BR>\n" );
document.write( "equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the slope because it is the multiplier of x.<BR>\n" );
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document.write( "Any line that is parallel to the graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%282%2F3%29x+%2B+1 ALIGN=MIDDLE  ALT=\"y+=+%282%2F3%29x+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > must have the same slope<BR>\n" );
document.write( "as the graph. So, in the slope intercept form, the line L will have the equation:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%282%2F3%29x+%2B+b ALIGN=MIDDLE  ALT=\"y+=+%282%2F3%29x+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" > where b is the y-axis intercept.  The problem tells you that the<BR>\n" );
document.write( "value of y on the y-axis is -3.  Substituting this for b in the equation results in the<BR>\n" );
document.write( "equation for L becoming:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%282%2F3%29x+-+3 ALIGN=MIDDLE  ALT=\"y+=+%282%2F3%29x+-+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and this is the answer to the problem. Line L is defined by the equation:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%282%2F3%29x+-3 ALIGN=MIDDLE  ALT=\"y+=+%282%2F3%29x+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Hope this helps you to understand the concept of parallel graphs ... they will have the<BR>\n" );
document.write( "same slope, but the y-intercepts will be different. </SPAN>\n" );
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