document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=166023>Question 166023</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which equation represents the line that passes through (1,1) and is parrallel to the line passing through (2,3) and (1,5) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #122342 by </B><A HREF=/tutors/aboutme.mpl?userid=jojo14344><B>jojo14344(1513)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jojo14344><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=122342\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> </pre><font size=4><b><BR>\n" );
document.write( "First we get the slope of line with points (2,3) & (1,5):<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;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%285-3%29%2F%281-2%29=2%2F%28-1%29 ALIGN=MIDDLE  ALT=\"m=%285-3%29%2F%281-2%29=2%2F%28-1%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=-2 ALIGN=MIDDLE  ALT=\"m=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, slope<BR>\n" );
document.write( "Knowing the slop, we can get the intercept in point (1,1):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=mx%2Bb ALIGN=MIDDLE  ALT=\"y=mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >, SLOPE- INTERCEPT <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1=-2%281%29%2Bb ALIGN=MIDDLE  ALT=\"1=-2%281%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=b=1%2B2=3 ALIGN=MIDDLE  ALT=\"b=1%2B2=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so, the eqn of the line: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=-2x%2B3%29 ALIGN=MIDDLE  ALT=\"highlight%28y=-2x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "The line with points (2,3) & (1,5): same slope because  parallel, we'll check<BR>\n" );
document.write( "VIA POINT SLOPE FORM:<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;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%285-3%29%2F%281-2%29=2%2F-1 ALIGN=MIDDLE  ALT=\"m=%285-3%29%2F%281-2%29=2%2F-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > ----> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=-2 ALIGN=MIDDLE  ALT=\"m=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, same right?<BR>\n" );
document.write( "For the intercept thru pints (2,3):<BR>\n" );
document.write( "Via SLOPE INTERCEPT FORM, we pick points (2,3)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3=-2%282%29%2Bb ALIGN=MIDDLE  ALT=\"3=-2%282%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=b=3%2B4=7 ALIGN=MIDDLE  ALT=\"b=3%2B4=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > ----> y intercept. The same value if you pick points (1,5).<BR>\n" );
document.write( "Eqn of line: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2x%2B7 ALIGN=MIDDLE  ALT=\"y=-2x%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" > (Green line) parallel to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2x%2B3 ALIGN=MIDDLE  ALT=\"y=-2x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > (Red line)<BR>\n" );
document.write( "See the graph,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-7%2C7%2C-7%2C7%2Cgrid%281%29%2Cgraph%28300%2C300%2C-7%2C7%2C-7%2C7%2C-2x%2B3%2C-2x%2B7%29%2Ccircle%281%2C1%2C.15%29%2Cblue%28circle%282%2C3%2C.15%29%29%2Cblue%28circle%281%2C5%2C.15%29%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > --- see red line, it passes at point (1,1). Also green line passes points (2,3) & (1,5)<BR>\n" );
document.write( "Thank you,<BR>\n" );
document.write( "Jojo</pre><BR>\n" );
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