document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=795462>Question 795462</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An equation of a line is y=5/3x+c. Determine the value of c when the line passes through the  point F(4,-6). Describe your strategy. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #480998 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=480998\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The given equation has three variables.  Your given point, F, will give values to the variables x and y, leaving only the variable c as unknown.  You would then just solve for c and simplify.  \r<BR>\n" );
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document.write( "A clear method which you can choose, is solve for c FIRST.  Substitute the values from F into the formula for c and evaluate.  \r<BR>\n" );
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document.write( "Performing that described method:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%285%2F3%29x%2Bc ALIGN=MIDDLE  ALT=\"y=%285%2F3%29x%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" >.   Point F on the line is given as (4,-6).<BR>\n" );
document.write( "Solving for c,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=y-%285%2F3%29x ALIGN=MIDDLE  ALT=\"c=y-%285%2F3%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substituting with point F,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=-6-%285%2F3%294 ALIGN=MIDDLE  ALT=\"c=-6-%285%2F3%294\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=-6-20%2F3 ALIGN=MIDDLE  ALT=\"c=-6-20%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=%28-18-20%29%2F3 ALIGN=MIDDLE  ALT=\"c=%28-18-20%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28c=-38%2F3=-12%262%2F3%29 ALIGN=MIDDLE  ALT=\"highlight%28c=-38%2F3=-12%262%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The equation in the two variables x and y, is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=%285%2F3%29x-12%262%2F3%29 ALIGN=MIDDLE  ALT=\"highlight%28y=%285%2F3%29x-12%262%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Drawing the graph is just a matter of indicating the y-intercept, which is c in your equation, and using the slope, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F3 ALIGN=MIDDLE  ALT=\"5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Note, knowing the given point F, you can also graph the line by indicating (4,-6) on the cartesian plane and using the slope, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F3 ALIGN=MIDDLE  ALT=\"5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  In this way, if you make your axes suitably, you can read the y-intercept directly from the graphed line. </SPAN>\n" );
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