document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=544498>Question 544498</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have test corrections for homework. On the test, it says - \r<BR>\n" );
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document.write( "Write an equation of the line, in point-slope form, that is perpendicular to 3x+y=7 and passes through (-6,2).\r<BR>\n" );
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document.write( "I have done this on the test - \r<BR>\n" );
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document.write( "3x+y=7              (-3x on both sides)<BR>\n" );
document.write( "y=-3x-7             (plug in coordinates)<BR>\n" );
document.write( "y-2=-3(x+6)\r<BR>\n" );
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document.write( "My teacher said that the -3 part is wrong, yet I don't see why. <BR>\n" );
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document.write( "                                            Please Reply Soon<BR>\n" );
document.write( "                                              Student in Need </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #355104 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=355104\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write an equation of the line, in point-slope form, that is perpendicular to 3x+y=7 and passes through (-6,2).<BR>\n" );
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document.write( "Standard form of equation for a straight line: y=mx+b, m=slope, b=y-intercept<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Given equation:<BR>\n" );
document.write( "3x+y=7<BR>\n" );
document.write( "y=-3x+7<BR>\n" );
document.write( "slope=-3<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Slope of line perpendicular to given equation=1/3 (negative reciprocal of -3)<BR>\n" );
document.write( "y=(1/3)x+b=x/3+b<BR>\n" );
document.write( "solving for b plugging in coordinates of given point (-6,2)<BR>\n" );
document.write( "2=-6/3+b<BR>\n" );
document.write( "2=-2+b<BR>\n" );
document.write( "b=4<BR>\n" );
document.write( "Equation of perpendicular line: <BR>\n" );
document.write( "y=x/3+4 </SPAN>\n" );
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