document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=631600>Question 631600</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write an equation in slope-intercept form (y=mx+b) for the perpendicular bisector of the segment between (3,4) and (-2,5)...please show all steps </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #397705 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=397705\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (3,4) and (-2,5)<BR>\n" );
document.write( "The equation for this line is to be determined.<BR>\n" );
document.write( "x1		y1	x2	y2				<BR>\n" );
document.write( "3		4	-2	5				<BR>\n" );
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document.write( "slope m =		(y2-y1)/(x2-x1)						<BR>\n" );
document.write( "(	5	-	4	)/(	-2	-	3	)<BR>\n" );
document.write( "(	1	/	-5	)  				<BR>\n" );
document.write( "m=		-  1/ 5						 <BR>\n" );
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document.write( "Find theco-ordinates of the mid point (3,4) and (-2,5)\r<BR>\n" );
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document.write( "(3-2)/2 = 0.5\r<BR>\n" );
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document.write( "(4+5)/2 = 4.5\r<BR>\n" );
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document.write( "The co-ordinates of the mid point are (0.5,4.5)\r<BR>\n" );
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document.write( "Equation of line perpendicular to the line joining (3,4) and (-2,5)and passing through (0.5,4.5) <BR>\n" );
document.write( "Equation of line joining the points <BR>\n" );
document.write( "y  	=	-  1/ 5	x	+	23/5				<BR>\n" );
document.write( "Divide by	1									<BR>\n" );
document.write( "	y  	=	-  1/ 5	x	+	23/5				<BR>\n" );
document.write( "Compare this equation with y=mx+b,	<BR>\n" );
document.write( "m= slope & b= y intercept					<BR>\n" );
document.write( "slope m =	- 1/5									<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( "Because m1*m2 =-1										<BR>\n" );
document.write( "The slope of the required line will be	5    							<BR>\n" );
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document.write( "m=	5    	,point	(	0.5	,	4.5	)			<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( "4.5	=	5/ 2	+	b						<BR>\n" );
document.write( "b=	2    									<BR>\n" );
document.write( "m=	5    									<BR>\n" );
document.write( "The required equation is	y=5x+2      	\r<BR>\n" );
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document.write( "m.ananth@hotmail.ca		<BR>\n" );
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