document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=178918>Question 178918</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the equation of the line passing through the points(3,7) and (11,13)?\r<BR>\n" );
document.write( "\n" );
document.write( "Also explain to me what is slope? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #133921 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=133921\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One definition or slope is \"rise over run\", a good way to think of it:<BR>\n" );
document.write( "The algebra formula for slope (m): m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y2-y1%29%2F%28x2-x1%29 ALIGN=MIDDLE  ALT=\"%28y2-y1%29%2F%28x2-x1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It says the same thing, y is vertical component, (rise) x is the horizontal (run)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "What is the equation of the line passing through the points(3,7) and (11,13)? <BR>\n" );
document.write( ":<BR>\n" );
document.write( "In this problem we can sign the given coordinates as follows to find the slope<BR>\n" );
document.write( "x1=3, y1=7<BR>\n" );
document.write( "x2=11,y2=13<BR>\n" );
document.write( ":<BR>\n" );
document.write( "m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2813-7%29%2F%2811-3%29 ALIGN=MIDDLE  ALT=\"%2813-7%29%2F%2811-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286%29%2F%28x8%29 ALIGN=MIDDLE  ALT=\"%286%29%2F%28x8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > reduces to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%29%2F%284%29 ALIGN=MIDDLE  ALT=\"%283%29%2F%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the slope<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Use the point/slope formula to create the equation: y-y1 = m(x-x1)<BR>\n" );
document.write( "y - 7 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >(x - 3)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "y - 7 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >x - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F4%29 ALIGN=MIDDLE  ALT=\"%283%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >*3<BR>\n" );
document.write( ":<BR>\n" );
document.write( "y - 7 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >x - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289%2F4%29 ALIGN=MIDDLE  ALT=\"%289%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >x - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289%2F4%29 ALIGN=MIDDLE  ALT=\"%289%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 7<BR>\n" );
document.write( ":<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >x - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289%2F4%29 ALIGN=MIDDLE  ALT=\"%289%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28%2F4 ALIGN=MIDDLE  ALT=\"28%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2819%2F4%29 ALIGN=MIDDLE  ALT=\"%2819%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >; is the equation for this line<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check this by substituting the x value and ensuring that it agrees with the y value<BR>\n" );
document.write( "for example using the 3, 7<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >(3) + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2819%2F4%29 ALIGN=MIDDLE  ALT=\"%2819%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F4 ALIGN=MIDDLE  ALT=\"9%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2819%2F4%29 ALIGN=MIDDLE  ALT=\"%2819%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28%2F4 ALIGN=MIDDLE  ALT=\"28%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > which = 7\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );