document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=980006>Question 980006</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If A and B are two points on a plane with coordinates of (6, -4) and (-18, 8) respectively:<BR>\n" );
document.write( "(a)What is the equation (in slope-intercept form) of the line determined by these two points? \r<BR>\n" );
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document.write( "(b)What is the gradient of the line perpendicular to this line?\r<BR>\n" );
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document.write( "(c)	What is the distance between points A and B?<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 #601213 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><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=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=601213\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> HI there,<BR>\n" );
document.write( "a) Gradient = y2 - y1/x2 - x1 <BR>\n" );
document.write( "Using (6,-4) and (-18,8)<BR>\n" );
document.write( " Gradient = 8 - (-4)/-18 - 6<BR>\n" );
document.write( " Gradient = 8 + 4/-24<BR>\n" );
document.write( "Gradient = 12/-24 = -1/2<BR>\n" );
document.write( "Using equation of the line<BR>\n" );
document.write( "y - b = m(x - a)  and (6, -4)<BR>\n" );
document.write( "y -(-4) = -1/2 (x - 6)<BR>\n" );
document.write( "y + 4 = -1/2x + 3<BR>\n" );
document.write( "y = -1/2x + 3 - 4<BR>\n" );
document.write( "y = -1/2x - 1<BR>\n" );
document.write( "or<BR>\n" );
document.write( "2y = -x - 1<BR>\n" );
document.write( ".........<BR>\n" );
document.write( "b)A line that is perpendicular to <BR>\n" );
document.write( "another line have gradients that<BR>\n" );
document.write( "multiply together to give -1<BR>\n" );
document.write( "m1 x m2 = -1<BR>\n" );
document.write( "-1/2 x m2 = -1<BR>\n" );
document.write( "m2 = 2<BR>\n" );
document.write( "Gradient of line perpendicular<BR>\n" );
document.write( "to the first line has a gradient = 2<BR>\n" );
document.write( "...........<BR>\n" );
document.write( "c) Distance formula<BR>\n" );
document.write( "Sqrt (x2 - x1)^2 + (y2 - y1)^2<BR>\n" );
document.write( "A (6, -14) B (-18, 8)<BR>\n" );
document.write( "sqrt (-18 - 6)^2 + (8 - (-14)^2<BR>\n" );
document.write( "sqrt(-24)^2 + (22)^2<BR>\n" );
document.write( "sqrt 1060<BR>\n" );
document.write( "= 32.6 units<BR>\n" );
document.write( "Hope this helps:-) </SPAN>\n" );
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