document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1086302>Question 1086302</A>: <I><SPAN STYLE=\"word-break: break-all;\"> compute the angle between the line 2y-9x-18=0 and the x-axis </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #700473 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=700473\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> convert the equation to slope intercept form.\r<BR>\n" );
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document.write( "start with 2y - 9x - 18 = 0\r<BR>\n" );
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document.write( "add 9x and 18 to both sides of the equation to get:\r<BR>\n" );
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document.write( "2y = 9x + 18\r<BR>\n" );
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document.write( "divide both sides of the equation by 2 to get:\r<BR>\n" );
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document.write( "y = (9/2)x + 9\r<BR>\n" );
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document.write( "the slope of the line is equal to 9/2.\r<BR>\n" );
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document.write( "the angle between the line and the horizontal axis is equal to the arc-tangent of (9/2) which is equal to 77.47119229 degrees.\r<BR>\n" );
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document.write( "the following diagram shows the relationship.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2017/062902.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "the triangle formed is triangle ABC.\r<BR>\n" );
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document.write( "the angle we want is angle A.\r<BR>\n" );
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document.write( "the length of the horizontal side of this triangle is 2.\r<BR>\n" );
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document.write( "the length of the vertical side of this triangle is 9.\r<BR>\n" );
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document.write( "tan(A) is equal to 9/2.\r<BR>\n" );
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document.write( "angle A is equal to arctan(9/2).\r<BR>\n" );
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document.write( " </SPAN>\n" );
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