document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=593657>Question 593657</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the angle (in degrees) between the two lines:<BR>\n" );
document.write( "6x-y+8=0<BR>\n" );
document.write( "-3x-11y+10=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #376393 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=376393\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the angle (in degrees) between the two lines:<BR>\n" );
document.write( "6x-y+8=0<BR>\n" );
document.write( "-3x-11y+10=0<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Find the slope of each:<BR>\n" );
document.write( "6x-y+8=0<BR>\n" );
document.write( "m1 = 6<BR>\n" );
document.write( "------<BR>\n" );
document.write( "-3x-11y+10=0<BR>\n" );
document.write( "m2 = -3/11<BR>\n" );
document.write( "------<BR>\n" );
document.write( "The tangent of the angle between the x-axis and the line is the slope.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "tan(A) = 6<BR>\n" );
document.write( "A =~ 80.54 degs<BR>\n" );
document.write( "---<BR>\n" );
document.write( "tan(B) = -3/11<BR>\n" );
document.write( "B = -15.26 degs<BR>\n" );
document.write( "diff = 96.8 degs<BR>\n" );
document.write( "or 180 - 96.8 = 83.2 degs<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );