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" );
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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 #133914 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=133914\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3,7) and (11,13)?\r<BR>\n" );
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document.write( "slope is the change in y values divided by the change in the x values of 2 points on a line. It is a measurement of how fast or slow a line rises or falls.<BR>\n" );
document.write( "Rise would be a positive slope and when a slope falls it is negative.<BR>\n" );
document.write( "When looking at a line slope of the line is is considered positive and rising if ascends, from left to right. When looking at a line the slope of the line   is considered negative and falling, if it descends looking from left to right.<BR>\n" );
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document.write( "m=slope=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=DELTA%28y%29%2FDELTA%28x%29 ALIGN=MIDDLE  ALT=\"DELTA%28y%29%2FDELTA%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=change in y/change in x=rise/run.<BR>\n" );
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document.write( "lets call (3,7) (x1,y1) and (11,13) (x2,y2)<BR>\n" );
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document.write( "you can take the slope from either point but cannot change direction in the middle. In other words you can have y1-y2/x1-x2 or y2-y2/x2-x1 but you cannot have y2-y1/x1-x2 or y1-y2/x2-x1. You must remain consistent through the change in y over change in x<BR>\n" );
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document.write( "m=(13-7)/(11-3)=6/8=3/4<BR>\n" );
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document.write( "so slope is 3/4 for these 2 points<BR>\n" );
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document.write( "now we use the point slope formula....we can use either point and of course the slope is 3/4<BR>\n" );
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document.write( "y-k=m(x-h) where (h,k) is any point on the line and m is the slope<BR>\n" );
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document.write( "I will use (3,7) as my point<BR>\n" );
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document.write( "y-7=(3/4)(x-3)<BR>\n" );
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document.write( "y-7=(3/4)x-9/4<BR>\n" );
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document.write( "y=(3/4)x+19/4 or we could write this as 4y=3x-9-->3x-4y=9(multiplied terms by 4)<BR>\n" );
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