document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174921>Question 174921</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0078213479/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Write an equation in slope-intercept form for the line through points (2,4) and (6,-2). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #129986 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=129986\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, determine the slope between the two points:<BR>\n" );
document.write( "(2,4) and (6,-2)<BR>\n" );
document.write( "m = (y2-y1)/(x2-x1)<BR>\n" );
document.write( "m = (-2-4)/(6-2)<BR>\n" );
document.write( "m = (-6)/(4)<BR>\n" );
document.write( "m = -3/2<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Next, use the slope above and one (2,4) of the two points provided and plug it into the \"point-slope\" form:<BR>\n" );
document.write( "y-y1 = m(x-x1)<BR>\n" );
document.write( "y-4 = (-3/2)(x-2)<BR>\n" );
document.write( "y-4 = (-3/2)x - 2(-3/2)<BR>\n" );
document.write( "y-4 = (-3/2)x + 3<BR>\n" );
document.write( "y = (-3/2)x + 7 (this is what they're looking for)\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );