document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1161549>Question 1161549</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The line joining A (1, 4) to B (5, p) has a gradient of 1/2. Find the value of p. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #785158 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=785158\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "I always recommend students to understand what slope means, instead of relying on memorizing the formula for the gradient between two points.<br><BR>\n" );
document.write( "Gradient (slope) is the ratio of \"rise\" to \"run\" -- the change in y compared to the change in x.<br><BR>\n" );
document.write( "Literally, thinking in terms of the gradient or slope of a road, it is a comparison of how far you go up or down (rise = change in y) to how far you go forward (run = change in x).<br><BR>\n" );
document.write( "Using that understanding....<br><BR>\n" );
document.write( "The change in x from A to B is +4.<br><BR>\n" );
document.write( "Since the gradient is 1/2, the change in y from A to B is 1/2 of 4, or 2.<br><BR>\n" );
document.write( "So p is 4+2 = 6.<br><BR>\n" );
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