document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=189849>Question 189849</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3. Find the shortest distance from the point P(-5, 9) to the line 3x-2y=6. Round to the nearest tenth if necessary.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #142444 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=142444\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "First take the given equation and put it into slope-intercept form, then determine the slope by examining the coefficient on <i><b>x</b></i>.\r<BR>\n" );
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document.write( "Next use:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  L_1 \perp L_2 \ \ \Leftrightarrow\ \ m_1 = -\frac{1}{m_2}\">\r<BR>\n" );
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document.write( "To calculate the slope of a line perpendicular to the given line.\r<BR>\n" );
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document.write( "Using the given point and the slope of the perpendicular you just calculated in the point-slope form of the equation of a line, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y - y_1 = m(x - x_1) \">, derive the equation of the perpendicular to the given line that passes through the given point.\r<BR>\n" );
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document.write( "The original equation and the just-derived equation for the perpendicular form a system of equations.  Solve this system for the point of intersection of the the two lines using any appropriate method.  Since you already have the given equation in slope-intercept form, the substitution method may be the easiest.\r<BR>\n" );
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document.write( "Determine the distance between the given point and the just-derived point of intersection using 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( "The result of this final calculation is the answer to the problem.\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" );
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