document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=872791>Question 872791</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the equation of the line which passes through the point of intersection of the lines x-2y-4 = 0 and 4x-y-4 = 0  and satisfying the additional conditions<BR>\n" );
document.write( "a) parallel to the line 16x -11y +3 =0<BR>\n" );
document.write( "b) perpendicular to the line 9x + 22y - 8 =0 <BR>\n" );
document.write( "Can you please help me out? Thanks so much in advance:) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #526420 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=526420\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write the equation of the line which passes through the point of intersection of the lines x-2y-4 = 0 and 4x-y-4 = 0  and satisfying the additional conditions<BR>\n" );
document.write( "a) parallel to the line 16x -11y +3 =0<BR>\n" );
document.write( "b) perpendicular to the line 9x + 22y - 8 =0 \r<BR>\n" );
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document.write( "Solve x-2y-4 = 0 and 4x-y-4 = 0\r<BR>\n" );
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document.write( "to get (x,y)\r<BR>\n" );
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document.write( "1	x		-2	y	=	4	.............1	<BR>\n" );
document.write( "								<BR>\n" );
document.write( "4	x		-1	y	=	4	.............2	<BR>\n" );
document.write( "Eliminate	y							<BR>\n" );
document.write( "multiply (1)by		1						<BR>\n" );
document.write( "Multiply (2) by		-2						<BR>\n" );
document.write( "1	x		-2	y	=	4		<BR>\n" );
document.write( "-8	x	+	2	y	=	-8		<BR>\n" );
document.write( "Add the two equations								<BR>\n" );
document.write( "-7	x				=	-4		<BR>\n" );
document.write( "/	-7							<BR>\n" );
document.write( "x	=	1						<BR>\n" );
document.write( "plug value of			x	in (1)				<BR>\n" );
document.write( "1	x		-2	y	=	4		<BR>\n" );
document.write( "1			-2	y	=	4		<BR>\n" );
document.write( "			-2	y	=	4		-1<BR>\n" );
document.write( "			-2	y	=	3		<BR>\n" );
document.write( "				y	=	-2		\r<BR>\n" );
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document.write( "(1,-2) is the point of intersection\r<BR>\n" );
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document.write( "16    	x	 	-11	y  	=	-3	<BR>\n" );
document.write( "Find the slope of this line							<BR>\n" );
document.write( "make y the subject							<BR>\n" );
document.write( "-11	y  	=	-16    	x		-3	<BR>\n" );
document.write( "Divide by	-11						<BR>\n" );
document.write( "	y  	=	1 4/9	x	+	 2/7	<BR>\n" );
document.write( "Compare this equation with y=mx+b							<BR>\n" );
document.write( "slope m =	1 4/9						<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			1 4/9				<BR>\n" );
document.write( "m=	1 4/9	,point	(	1      	,	-2	)<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( "-2	=	16/11	+	b			<BR>\n" );
document.write( "b=	-3.45						<BR>\n" );
document.write( "m=	13/9						<BR>\n" );
document.write( "Plug value of  the slope  and b					in y = mx +b		<BR>\n" );
document.write( "The required equation is		y  	=	13/9	x		-38/11\r<BR>\n" );
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document.write( "for perpendicular take the negative reciprocal of the slope of given line 9x + 22y - 8 =0<BR>\n" );
document.write( "and point is (1,-2)<BR>\n" );
document.write( "frame the equation </SPAN>\n" );
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