document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=2690>Question 2690</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Question: F'ind the equation of the line that passes through the point (6,2) and is perpendicular to the line y=(-1/3)x + 6<BR>\n" );
document.write( "Write the equation of the line in standard form with integral coefficients <BR>\n" );
document.write( "I know ax + by = c<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 #1246 by </B><A HREF=/tutors/aboutme.mpl?userid=xcentaur><B>xcentaur(357)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=xcentaur><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=1246\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given:<BR>\n" );
document.write( "P=(6,2)<BR>\n" );
document.write( "y=(-1/3)x+6 ..... [line 1]<BR>\n" );
document.write( "[Line 2](eqn unknown) is perpendicular to [Line 1]<BR>\n" );
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document.write( "We know that if two lines are perpendicular,the product of their slopes is -1.<BR>\n" );
document.write( "ie. m1*m2=-1<BR>\n" );
document.write( "Let slope of line 1 be m1.<BR>\n" );
document.write( "Then,<BR>\n" );
document.write( "-1/3*m2=-1<BR>\n" );
document.write( "m2=(-1*3)/-1<BR>\n" );
document.write( "  =3<BR>\n" );
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document.write( "Then slope of required line is 3.<BR>\n" );
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document.write( "We have one point P(6,2) on this line of slope 3.<BR>\n" );
document.write( "Then using point-slope form,\r<BR>\n" );
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document.write( "y-y1=m(x-x1)<BR>\n" );
document.write( "y-2=3(x-6)<BR>\n" );
document.write( "y-2=3x-18<BR>\n" );
document.write( "y=3x-18+2<BR>\n" );
document.write( "y=3x-16<BR>\n" );
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document.write( "<B>Equation of the line in standard form: y = 3x - 16 </b><BR>\n" );
document.write( "<P><BR>\n" );
document.write( "Hope this helps,<BR>\n" );
document.write( "best of luck. </SPAN>\n" );
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