document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=548115>Question 548115</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A line with slope equal to 1 and a line with slope equal to 2 intersect at the point P(4,6) as shown.  Points Q and R are both on the x-axis. What is the area of triangle PQR </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #356730 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=356730\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> slope = 1 and passes through (4,6)\r<BR>\n" );
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document.write( "The equation of this line <BR>\n" );
document.write( "m=		1      					<BR>\n" );
document.write( "							<BR>\n" );
document.write( "Plug value of  the slope  and point (	4,6) in<BR>\n" );
document.write( "Y 	=	m	x 	+	b		<BR>\n" );
document.write( "6.00	=	4    	+	b			<BR>\n" );
document.write( "b=	6	-	4    				<BR>\n" );
document.write( "b=	2      						<BR>\n" );
document.write( "So the equation  will be							<BR>\n" );
document.write( "Y 	=	1    	x 	+	2 <BR>\n" );
document.write( "The x intercept is Q(-2,0)) \r<BR>\n" );
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document.write( "slope 2 passing through (4,6)<BR>\n" );
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document.write( "m=		2      					<BR>\n" );
document.write( "							<BR>\n" );
document.write( "Plug value of  the slope  and point (4,	6) in<BR>\n" );
document.write( "Y 	=	m	x 	+	b		<BR>\n" );
document.write( "6.00	=	8    	+	b			<BR>\n" );
document.write( "b=	6	-	8    				<BR>\n" );
document.write( "b=	-2      						<BR>\n" );
document.write( "So the equation  will be							<BR>\n" );
document.write( "Y 	=	2x-2  <BR>\n" );
document.write( "x intercept = (1,0)  \r<BR>\n" );
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document.write( "The intersection of these two lines have to be calculated.<BR>\n" );
document.write( "-1	x		-1	y	=	2	.............1	<BR>\n" );
document.write( "2	x		-1	y	=	2	.............2	<BR>\n" );
document.write( "Eliminate 	y							<BR>\n" );
document.write( "multiply (1)by 		-1						<BR>\n" );
document.write( "Multiply (2) by		1						<BR>\n" );
document.write( "1	x		1	y	=	-2		<BR>\n" );
document.write( "2	x	+	-1	y	=	2		<BR>\n" );
document.write( "Add the two equations								<BR>\n" );
document.write( "3	x				=	0.00		<BR>\n" );
document.write( "/	3							<BR>\n" );
document.write( "x	=	0      						<BR>\n" );
document.write( "plug value of 			x	in (1)				<BR>\n" );
document.write( "-1	x	+	-1	y	=	2		<BR>\n" );
document.write( "0		+	-1	y	=	2		<BR>\n" );
document.write( "			-1	y	=	2	+	0<BR>\n" );
document.write( "			-1	y	=	2		<BR>\n" );
document.write( "				y	=	-2      		<BR>\n" );
document.write( "P(0,-2)	Q(-2,0),R(1,0)\r<BR>\n" );
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document.write( "Area of triangle with vertices p(x1,y1)Q(x2,y2)&R(x3,y3)=<BR>\n" );
document.write( "1/2[x1(y2-y3)+x2(y3-y1)+x3(y1-y2)]<BR>\n" );
document.write( "the points are 	<BR>\n" );
document.write( "1/2[0+0+1(2)]<BR>\n" );
document.write( "=1/2*2<BR>\n" );
document.write( "=1 sq.unit\r<BR>\n" );
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document.write( "m.ananth@hotmail.ca<BR>\n" );
document.write( "  		\r<BR>\n" );
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document.write( " </SPAN>\n" );
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