document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174831>Question 174831</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;\"> Find an equation in slope-intercept form for the line that passes through (-3,1)and (-2,-3). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #129899 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=129899\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Slope of a line between two points is:<BR>\n" );
document.write( "m = (y2-y1)/(x2-x1)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "So, the two given in your problem is:<BR>\n" );
document.write( "(-3,1)and (-2,-3)<BR>\n" );
document.write( "plugging it in we get:<BR>\n" );
document.write( "m = (-3-1)/(-2-(-3))<BR>\n" );
document.write( "m = (-4)/(-2+3)<BR>\n" );
document.write( "m = (-4)/(1)<BR>\n" );
document.write( "m = -4<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Now, using the \"point slope\" form of an equation:<BR>\n" );
document.write( "y - y1 = m(x-x1)<BR>\n" );
document.write( "Using one of the two points provided along with the calculated slope:<BR>\n" );
document.write( "y - 1 = -4(x-(-3))<BR>\n" );
document.write( "y - 1 = -4(x+3)<BR>\n" );
document.write( "y - 1 = -4x - 12<BR>\n" );
document.write( "y = -4x - 11 (this is what they're looking for)\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );