document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1024690>Question 1024690</A>: <I><SPAN STYLE=\"word-break: break-all;\"> HI!\r<BR>\n" );
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document.write( "I have a math homework on linear equations, and I am stuck at question number 2.<BR>\n" );
document.write( "Here goes the problem:<BR>\n" );
document.write( "Given the point A(2,7) and the line l1 with equation 3x – 4y – 8 = 0<BR>\n" );
document.write( "1.	Find equation of the line AQ, which is perpendicular to l1 and passing through A.<BR>\n" );
document.write( "2.	Find the coordinates of point Q, which is the point of intersection between the line AQ and the line l1.<BR>\n" );
document.write( "3.	Calculate the length of [AQ].<BR>\n" );
document.write( "4.	On graph paper, plot the point A(2,7) and the line l1 with equation 3x – 4y – 8 = 0.<BR>\n" );
document.write( "	From point A, draw a perpendicular to the line l1. Let Q be the point of intersection between the perpendicular and the line l1. From your graph, measure the length [AQ] and compare it with the distance you previously calculated.\r<BR>\n" );
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document.write( "I have solved the first one and my answer is y= -4/3X + 25/3\r<BR>\n" );
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document.write( "As for questions number 4, I would appreciate it if you gave me some tips on how to draw the graph\r<BR>\n" );
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document.write( "Thanks in advance!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #640110 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=640110\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Your answer to number 1 is sort of on the right track but your value for the constant term in the equation is off.\r<BR>\n" );
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document.write( "Your calculation of the slope of the perpendicular is correct, so I won't repeat that.  Knowing a point on a line and the slope, use the point-slope form:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ y\ -\ y_1\ =\ m(x\ -\ x_1) \">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ y\ -\ 7\ =\ -\frac{4}{3}(x\ -\ 2)\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ y\ -\ 7\ =\ -\frac{4}{3}x\ +\ \frac{8}{3}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ y\ =\ -\frac{4}{3}x\ +\ \frac{8}{3}\ +\ \frac{21}{3}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ y\ =\ -\frac{4}{3}x\ +\ \frac{29}{3}\">\r<BR>\n" );
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document.write( "2.  If point <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large Q\"> is on both lines, then since\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ y\ =\ \frac{3}{4}x\ -\ 2\">\r<BR>\n" );
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document.write( "and\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ y\ =\ -\frac{4}{3}\ +\ \frac{29}{3}\">\r<BR>\n" );
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document.write( "then\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{3}{4}x\ -\ 2\ =\ -\frac{4}{3}\ +\ \frac{29}{3}\">\r<BR>\n" );
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document.write( "I'll let you convince yourself that <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\ =\ 5.6\"> and then <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y\ =\ 2.2\">\r<BR>\n" );
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document.write( "3.  Use the distance formula\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ d\ =\ \sqrt{(x_1\ -\ x_2)^2\ +\ (y_1\ -\ y_2)^2}\">\r<BR>\n" );
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document.write( "4.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=solver91311&illustration_name=intersectingperpendicular.jpg\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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