document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=583549>Question 583549</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find (a) the equation of a line that is parallel to the given line and includes the given point, and (b) the equation of a line that is perpendicular to the given line through the given point. Write both answers in slope-intercept form. (c) Graph both of these lines on the same axes Please show all of your work.\r<BR>\n" );
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document.write( "y = -4x + 2, (5, 4) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #372484 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=372484\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> PARALLEL							<BR>\n" );
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document.write( "4    	x	+		y  	=	2	<BR>\n" );
document.write( "Find the slope of this line							<BR>\n" );
document.write( "make y the subject							<BR>\n" );
document.write( "	y  	=	-4    	x	+	2	<BR>\n" );
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document.write( "Compare this equation with y=mx+b							<BR>\n" );
document.write( "slope m =	-4    						<BR>\n" );
document.write( "The slope of a line parallel to the above line will be the same							<BR>\n" );
document.write( "The slope of the required line will be			-4    				<BR>\n" );
document.write( "m=	-4    	,point	(	5	,	4	)<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	=	-20      	+	b			<BR>\n" );
document.write( "b=	24						<BR>\n" );
document.write( "m=	-4    						<BR>\n" );
document.write( "Plug value of  the slope  and b	in y = mx +b		<BR>\n" );
document.write( "The required equation is y=-4x	+24     \r<BR>\n" );
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document.write( "PERPENDICULAR\r<BR>\n" );
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document.write( "4      	x	+	y  	=	2				<BR>\n" );
document.write( "Find the slope of this line										<BR>\n" );
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document.write( "y  	=	-4      	x	+	2    				<BR>\n" );
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document.write( "Compare this equation with y=mx+b,<BR>\n" );
document.write( "m= slope & b= y intercept					<BR>\n" );
document.write( "slope m =	-4    									<BR>\n" );
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document.write( "The slope of a line perpendicular to the above line will be the negative reciprocal= 1/4<BR>\n" );
document.write( "m1*m2=-1										<BR>\n" );
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document.write( "m=	 1/4	,point	(	5	,	4	)			<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/ 4	+	b						<BR>\n" );
document.write( "b=	11/4									<BR>\n" );
document.write( "m=	 1/4									<BR>\n" );
document.write( "The required equation is y  	=  1/ 4	x+11/ 4			<BR>\n" );
document.write( "m.ananth@hotmail.ca										<BR>\n" );
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