document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1180511>Question 1180511</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the line which passes through point (1,1) and is perpendicular to line AB which passes through points A(1,-2) and B(5,6). \r<BR>\n" );
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document.write( "Note: Can you please show the full solution? Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #810219 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=810219\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Find the equation of the line which passes through point (1,1) and is perpendicular to line AB which passes through points A(1,-2) and B(5,6). \r<BR>\n" );
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document.write( "Equation of AB\r<BR>\n" );
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document.write( "x1		y1	x2	y2				<BR>\n" );
document.write( "1		-2	5	6				<BR>\n" );
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document.write( "slope m =		(y2-y1)/(x2-x1)						<BR>\n" );
document.write( "(	6	-	-2	)/(	5	-	1	)<BR>\n" );
document.write( "(	8	/	4	)  				<BR>\n" );
document.write( "m=		2.00						 <BR>\n" );
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document.write( "Plug value of  the slope  and point			(	1	,	-2	) in	<BR>\n" );
document.write( "Y	=	m	x	+	b			<BR>\n" );
document.write( "-2.00	=	2    	+	b				<BR>\n" );
document.write( "b=	-2.00	-	2    					<BR>\n" );
document.write( "b=	-4      							<BR>\n" );
document.write( "So the equation  of AB will be								<BR>\n" );
document.write( "Y 	=	2      	x	-4    	\r<BR>\n" );
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document.write( "slope of the line = 2\r<BR>\n" );
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document.write( "The slope of a line perpendicular to the above line will be the negative reciprocal							<BR>\n" );
document.write( "m1*m2=-1							<BR>\n" );
document.write( "The slope of the required line will be			0.50				<BR>\n" );
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document.write( "m=	 1/2	,point	(	1	,	1	)<BR>\n" );
document.write( "Find b by plugging the values of m & the point in	-0.875						<BR>\n" );
document.write( "y=mx+b							<BR>\n" );
document.write( "2	=	1.75	+	b			<BR>\n" );
document.write( "b=	0.25						<BR>\n" );
document.write( "m=	-0.875						<BR>\n" );
document.write( "The required equation is		y  	=	-  7/8 	x+	  1/4 \r<BR>\n" );
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document.write( "	<BR>\n" );
document.write( "	<BR>\n" );
document.write( " </SPAN>\n" );
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