document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=967652>Question 967652</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the angle from the line x+2y-3=0 to the line 2x-3y+8=0. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #591428 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=591428\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find the angle from the line x+2y-3=0 to the line 2x-3y+8=0.<BR>\n" );
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document.write( "Find the slope of each line.<BR>\n" );
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document.write( "x+2y-3=0 --> y = (-1/2)x + b  --> m1 = -1/2<BR>\n" );
document.write( "2x-3y+8=0 --> y = (2/3)x + b --> m2 = 2/3<BR>\n" );
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document.write( "The slope is the tangent of the angle wrt the x-axis.<BR>\n" );
document.write( "Angle 1 = atan(-1/2) = -26.565 degs<BR>\n" );
document.write( "Angle 2 = atan(2/3) = 33.69 degs<BR>\n" );
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document.write( "The small angle at the intersection is the difference.<BR>\n" );
document.write( "= 60.255 degs<BR>\n" );
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document.write( "The large angle = 180 - 60.255 = 119.745 degs<BR>\n" );
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