document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=60346>Question 60346</A>: <I><SPAN STYLE=\"word-break: break-all;\"> .  Find the equation, in slope-intercept form, of the line that passes through the points (-3, 1) and (-2, -5). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #41515 by </B><A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><B>tutorcecilia(2152)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><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=tutorcecilia><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=41515\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y=mx+b [The slope-intercept form of the equation of a line]<BR>\n" );
document.write( "Slope=m=(y2-y1)/(x2-x1) [The formula for finding the slope of a line]<BR>\n" );
document.write( "(-3, 1) and (-2, -5) [The given points]<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Slope=m=(-5-1)/(-2-(-3) =(-6/1)=-6 [Plug-in the given points]<BR>\n" );
document.write( "m=-6 [The slope of the line]<BR>\n" );
document.write( ".<BR>\n" );
document.write( "y=mx+b [Plug-in the known values and solve for b]<BR>\n" );
document.write( "1=(-6)(-3)+b [I used points (-3, 1) and the slope (-6), but any point is OK]<BR>\n" );
document.write( "1=18+b [Solve for b]<BR>\n" );
document.write( "-17=b <BR>\n" );
document.write( ".<BR>\n" );
document.write( "y=mx+b [Plug-in the values of the slope and the y-intercept (b)]<BR>\n" );
document.write( "y=-6x-17 [The slope-intercept form of the equation of the line]. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );