document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=698483>Question 698483</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you do direct varation with this problem 2y=5x+1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #430930 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=430930\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "When two variables are related in such a way that the ratio of their values always remains the same, the two variables are said to be in direct variation.\r<BR>\n" );
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document.write( "In general, we say, that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > varies directly as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > if there is a constant k so that the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=kx ALIGN=MIDDLE  ALT=\"y=kx\"   DISABLED_style= \"max-width:90%; height:auto;\" > is true. \r<BR>\n" );
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document.write( "The <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=slope ALIGN=MIDDLE  ALT=\"slope\"   DISABLED_style= \"max-width:90%; height:auto;\" > of a line is the constant of variation. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y=5x%2B1 ALIGN=MIDDLE  ALT=\"2y=5x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%285%2F2%29x%2B%281%2F2%29 ALIGN=MIDDLE  ALT=\"y=%285%2F2%29x%2B%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. The constant of variation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F2 ALIGN=MIDDLE  ALT=\"5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but NO,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y=5x%2B1 ALIGN=MIDDLE  ALT=\"2y=5x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > is not a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=direct ALIGN=MIDDLE  ALT=\"direct\"   DISABLED_style= \"max-width:90%; height:auto;\" > variation because the equation cannot be written in the form of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=kx ALIGN=MIDDLE  ALT=\"y=kx\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "if only <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%285%2F2%29x ALIGN=MIDDLE  ALT=\"y=%285%2F2%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, would be a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=direct ALIGN=MIDDLE  ALT=\"direct\"   DISABLED_style= \"max-width:90%; height:auto;\" > variation, since it has <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > added to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%285%2F2%29x ALIGN=MIDDLE  ALT=\"y=%285%2F2%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, it's <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=not ALIGN=MIDDLE  ALT=\"not\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=direct ALIGN=MIDDLE  ALT=\"direct\"   DISABLED_style= \"max-width:90%; height:auto;\" > variation </SPAN>\n" );
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