document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=977433>Question 977433</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the equation of the line for the line that contains the point (-4, 18) and is parallel to the line that contains (2, -2) and (6, 3)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #598958 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=598958\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi there,<BR>\n" );
document.write( "First find the gradient of the line<BR>\n" );
document.write( "between (2, -2) and (6,3)<BR>\n" );
document.write( "Gradient = y(2) - y(1)/x(2) - x(1)<BR>\n" );
document.write( "Gradient = 3 - (-2)/6 - 2<BR>\n" );
document.write( "Gradient = 5/4<BR>\n" );
document.write( "If two lines are parallel then they<BR>\n" );
document.write( "have the same gradient.<BR>\n" );
document.write( "Therefore the line containing the <BR>\n" );
document.write( "point (-4, 18)<BR>\n" );
document.write( "has the equation:<BR>\n" );
document.write( "y - 18 = 5/4 (x -(-4))<BR>\n" );
document.write( "y - 18 = 5/4(x + 4)<BR>\n" );
document.write( "y - 18 = 5/4x + 5<BR>\n" );
document.write( "y = 5/4x + 5 + 18<BR>\n" );
document.write( "y = 5/4x + 23<BR>\n" );
document.write( "OR<BR>\n" );
document.write( "4y = 5x + 92 (Multiplied thro' by 4)<BR>\n" );
document.write( "Hope this helps:-) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );