document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=534370>Question 534370</A>: <I><SPAN STYLE=\"word-break: break-all;\"> As hard as I try, I have been unable to understand this lesson, much less answer anything correctly. This is an example homework question:\r<BR>\n" );
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document.write( "Write an equation of the line containing the given point and perpendicular to the given line. Express your answer in the form of y=mx+b\r<BR>\n" );
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document.write( "(2, -6); 8x + 5y = 6\r<BR>\n" );
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document.write( "I know that I'm supposed to subtract 8x from both sides (to solve for y), and I am able to complete the first step correctly:\r<BR>\n" );
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document.write( "5y = -8x + 6\r<BR>\n" );
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document.write( "It then tells me to divide each side by 5 (this is where my answer does not match up with the correct homework answer) and I get:\r<BR>\n" );
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document.write( "y =   8        6 <BR>\n" );
document.write( "    - _ x  +   _<BR>\n" );
document.write( "      5        5\r<BR>\n" );
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document.write( "The correct answer is:\r<BR>\n" );
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document.write( "y =    8       29 <BR>\n" );
document.write( "     - __ x  - __<BR>\n" );
document.write( "        5       4\r<BR>\n" );
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document.write( "What am I doing wrong??? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #351478 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=351478\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write an equation of the line containing the given point and perpendicular to the given line. Express your answer in the form of y=mx+b <BR>\n" );
document.write( "(2,-6); 8x + 5y = 6 <BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Find the slope of the line.<BR>\n" );
document.write( "To do that, put it in slope-intercept form.  That means solve for y.<BR>\n" );
document.write( "8x + 5y = 6<BR>\n" );
document.write( "5y = -8x + 6<BR>\n" );
document.write( "y = (-8/5)x + 6/5<BR>\n" );
document.write( "The slope, m, is the coefficient of x in this form.<BR>\n" );
document.write( "m = -8/5<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "The slope of lines perpendicular is the negative inverse.<BR>\n" );
document.write( "m = 5/8<BR>\n" );
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document.write( "Use y = mx + b and the point (2,-6) to find b<BR>\n" );
document.write( "-6 = (5/8)*2 + b<BR>\n" );
document.write( "b = -29/4<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "For the line perpendicular, m = 5/8 and b = -29/4<BR>\n" );
document.write( "--> y = (5/8)x - 29/4<BR>\n" );
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