document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=500172>Question 500172</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation of the line that satisfies the given conditions.<BR>\n" );
document.write( "Through<BR>\n" );
document.write( "(&#8722;8, &#8722;8);<BR>\n" );
document.write( "  perpendicular to the line passing through<BR>\n" );
document.write( "(&#8722;5, 4) and (&#8722;1, 2)<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 #338031 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=338031\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x1		y1	x2	y2				<BR>\n" );
document.write( "-5		4	-1	2				<BR>\n" );
document.write( "We find the equation of this line								<BR>\n" );
document.write( "slope m =		(y2-y1)/(x2-x1)						<BR>\n" );
document.write( "(	2	-	4	)/(	-1	-	-5	) <BR>\n" );
document.write( "(	-2	/	4	)  				<BR>\n" );
document.write( "m=		-  1/ 2						 <BR>\n" );
document.write( "								<BR>\n" );
document.write( "Plug value of  the slope  and point 			(	-5	,	4	) in	<BR>\n" );
document.write( "Y 	=	m	x 	+	b			<BR>\n" );
document.write( "4.00	=	5/2	+	b				<BR>\n" );
document.write( "b=	4	-	5/2					<BR>\n" );
document.write( "b=	3/ 2							<BR>\n" );
document.write( "So the equation  will be								<BR>\n" );
document.write( "Y 	=	- 1/2	x 	+	3/2			<BR>\n" );
document.write( "								<BR>\n" );
document.write( "EQUATION OF LINE PERPENDICULAR TO THIS  LINE 				<BR>\n" );
document.write( "Find the slope of this line 								<BR>\n" );
document.write( "								<BR>\n" );
document.write( "1	y  	=	-1/2	x	+	3/2		<BR>\n" );
document.write( "Divide by 	1							<BR>\n" );
document.write( "	y  	=	-1/2	x	+	3/2		<BR>\n" );
document.write( "Compare this equation with y=mx+b								<BR>\n" );
document.write( "slope m =	-1/2							<BR>\n" );
document.write( "								<BR>\n" );
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 			2<BR>\n" );
document.write( "								<BR>\n" );
document.write( "m=	2    	,point	(	-8	,	-8	)	<BR>\n" );
document.write( "Find b by plugging the values of m & the point in								<BR>\n" );
document.write( "y=mx+b								<BR>\n" );
document.write( "-8	=	-16.00	+	b				<BR>\n" );
document.write( "b=	8							<BR>\n" );
document.write( "m=	2    							<BR>\n" );
document.write( "The required equation is y  	=	2      	x	+	8      	<BR>\n" );
document.write( "m.ananth@hotmail.ca								<BR>\n" );
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