document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=214303>Question 214303</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a homework assignment and I need an example of one so I can answer the rest of the questions.  Find the line passing through the following pairs of points?<BR>\n" );
document.write( "(3, 11) (6, 20)<BR>\n" );
document.write( "Can you please show me how to figure these kind of questions out.  Thanks<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #161871 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=161871\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the line that passes through the two points (3,11) and (6,20)<BR>\n" );
document.write( "Since you don't specify the form of equation you need, I'll assume that the \"slope-intercept\" form (y = mx+b) is acceptable.<BR>\n" );
document.write( "Start by finding the slope (m) of the line using the two given points.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 ALIGN=MIDDLE  ALT=\"m+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D+=+3 ALIGN=MIDDLE  ALT=\"x%5B1%5D+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B1%5D+=+11 ALIGN=MIDDLE  ALT=\"y%5B1%5D+=+11\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D+=+6 ALIGN=MIDDLE  ALT=\"x%5B2%5D+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B2%5D+=+20 ALIGN=MIDDLE  ALT=\"y%5B2%5D+=+20\"   DISABLED_style= \"max-width:90%; height:auto;\" > Making the appropriate substitutions, we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%2820-11%29%2F%286-3%29 ALIGN=MIDDLE  ALT=\"m+=+%2820-11%29%2F%286-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+9%2F3 ALIGN=MIDDLE  ALT=\"m+=+9%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+3 ALIGN=MIDDLE  ALT=\"m+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So you can start out with:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+3x%2Bb ALIGN=MIDDLE  ALT=\"y+=+3x%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > To find the value of b, the y-intercept, substitute the x- and y-coordinates of either one of the two given points. Using the first point (3,11) we have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11+=+3%283%29%2Bb ALIGN=MIDDLE  ALT=\"11+=+3%283%29%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11+=+9%2Bb ALIGN=MIDDLE  ALT=\"11+=+9%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 9 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+=+b ALIGN=MIDDLE  ALT=\"2+=+b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The final equation is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y+=+3x%2B2%29 ALIGN=MIDDLE  ALT=\"highlight%28y+=+3x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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