document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=838059>Question 838059</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help on this problem. <BR>\n" );
document.write( "Find the equation of the line passing through the given points. Use function notation to write the equation. (2,6) and (3,11) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #505183 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=505183\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"Use function notation to write the equation\" means that the answer should be written as <BR>\n" );
document.write( "f(x) =... instead of y=... . <BR>\n" );
document.write( "The function would be of the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=mx%2Bb ALIGN=MIDDLE  ALT=\"f%28x%29=mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > with constants<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m ALIGN=MIDDLE  ALT=\"m\"   DISABLED_style= \"max-width:90%; height:auto;\" > = slope of the line, and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > = y-intercept of the line<BR>\n" );
document.write( " <BR>\n" );
document.write( "The points tell you that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282%29=6 ALIGN=MIDDLE  ALT=\"f%282%29=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%283%29=11 ALIGN=MIDDLE  ALT=\"f%283%29=11\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( " <BR>\n" );
document.write( "In general,<BR>\n" );
document.write( "you can substitute and solve as a system of equations, or<BR>\n" );
document.write( "you can calculate the slope, and then decide how to figure out the function from then on.<BR>\n" );
document.write( " <BR>\n" );
document.write( "You can calculate the slope as the change in y-coordinates divided by the change in x-coordinates:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%2811-6%29%2F%283-2%29 ALIGN=MIDDLE  ALT=\"m=%2811-6%29%2F%283-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=5%2F1 ALIGN=MIDDLE  ALT=\"m=5%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28m=5%29 ALIGN=MIDDLE  ALT=\"highlight%28m=5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That was easy.<BR>\n" );
document.write( " <BR>\n" );
document.write( "From there, substituting the value for <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 the coordinates of one of the points (chose one), lets you find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > easily:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28f%28x%29=mx%2Bb%2C+m=5%2Cf%282%29=6%29 ALIGN=MIDDLE  ALT=\"system%28f%28x%29=mx%2Bb%2C+m=5%2Cf%282%29=6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6=5%2A2%2Bb ALIGN=MIDDLE  ALT=\"6=5%2A2%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6=10%2Bb ALIGN=MIDDLE  ALT=\"6=10%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6-10=b ALIGN=MIDDLE  ALT=\"6-10=b\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28b=-4%29 ALIGN=MIDDLE  ALT=\"highlight%28b=-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "Now we have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28f%28x%29=5x-4%29 ALIGN=MIDDLE  ALT=\"highlight%28f%28x%29=5x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "Verification:<BR>\n" );
document.write( "It is a good idea to plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2 ALIGN=MIDDLE  ALT=\"x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3 ALIGN=MIDDLE  ALT=\"x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > in there to verify that you get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282%29=6 ALIGN=MIDDLE  ALT=\"f%282%29=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%283%29=11 ALIGN=MIDDLE  ALT=\"f%283%29=11\"   DISABLED_style= \"max-width:90%; height:auto;\" > . </SPAN>\n" );
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