document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=570882>Question 570882</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with 6 problems, I have been trying to figure them out for 2 days now and have not been able too. Please help, here are the questions.\r<BR>\n" );
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document.write( "Find an equation of the line containing the given pair of points.\r<BR>\n" );
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document.write( "(1/4, -1/2) and (3/4, 6)<BR>\n" );
document.write( "What is the equation of the line? y=\r<BR>\n" );
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document.write( "second question<BR>\n" );
document.write( "Find an equation of the line having the given slope and containing the given point.<BR>\n" );
document.write( "m=6/7, (1, -7)<BR>\n" );
document.write( "The equation of the line is Y=\r<BR>\n" );
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document.write( "Third question<BR>\n" );
document.write( "Find an equation of the line containing the given pair of points.<BR>\n" );
document.write( "(-1, -2) and (-4, -6)<BR>\n" );
document.write( "The equation of the line in slope-intercept from is y=\r<BR>\n" );
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document.write( "Fourth Question<BR>\n" );
document.write( "Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b<BR>\n" );
document.write( "(-4, 7); 4x=3y+2<BR>\n" );
document.write( "The equation of the line is y=\r<BR>\n" );
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document.write( "Fifth question<BR>\n" );
document.write( "Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b<BR>\n" );
document.write( "(5, 7); 5x+y=4<BR>\n" );
document.write( "the equation of the line is y=\r<BR>\n" );
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document.write( "Sixth question<BR>\n" );
document.write( "Write an equation of the line containing the given point and perpendicular to the given line.<BR>\n" );
document.write( "(5, -4); 4x+3y=8<BR>\n" );
document.write( "The equation of the line is y=\r<BR>\n" );
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document.write( "I have no clue how to solve these problems, any help is greatly appreciated.\r<BR>\n" );
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document.write( "Thanks again<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #367841 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=367841\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find an equation of the line containing the given pair of points.\r<BR>\n" );
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document.write( "(1/4, -1/2) and (3/4, 6)<BR>\n" );
document.write( "x1		y1	x2	y2				<BR>\n" );
document.write( "  1/ 4		  1/ 2	  3/ 4	6				<BR>\n" );
document.write( "								<BR>\n" );
document.write( "slope m =		(y2-y1)/(x2-x1)						<BR>\n" );
document.write( "(	6	-	 1/2	)/(	 3/4	-	 1/4	) <BR>\n" );
document.write( "(	5.5	/	0.5	)  				<BR>\n" );
document.write( "m=		11      						 <BR>\n" );
document.write( "								<BR>\n" );
document.write( "Plug value of  the slope  and point (	 1/4	,	 1/2	) in	<BR>\n" );
document.write( "Y 	=	m	x 	+	b			<BR>\n" );
document.write( "1/2	=	11/4	+	b				<BR>\n" );
document.write( "b=	0.5	-	11/4					<BR>\n" );
document.write( "b=	-9/ 4							<BR>\n" );
document.write( "So the equation  will be								<BR>\n" );
document.write( "Y 	=	11    	x 		-9/4			\r<BR>\n" );
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document.write( "What is the equation of the line? y=\r<BR>\n" );
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document.write( "second question<BR>\n" );
document.write( "Find an equation of the line having the given slope and containing the given point.<BR>\n" );
document.write( "m=6/7, (1, -7)\r<BR>\n" );
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document.write( "m=		  6/ 7				<BR>\n" );
document.write( "						<BR>\n" );
document.write( "Plug value of  the slope  and point (	1,	-7<BR>\n" );
document.write( "Y 	=	m	x 	+	b	<BR>\n" );
document.write( "-7.00	=	 6/7	+	b		<BR>\n" );
document.write( "b=	-7	-	 6/7			<BR>\n" );
document.write( "b=	-55/ 7					<BR>\n" );
document.write( "So the equation  will be						<BR>\n" );
document.write( "Y 	=	 6/7	x 		-55/7	\r<BR>\n" );
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document.write( "The equation of the line is Y=\r<BR>\n" );
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document.write( "Third question<BR>\n" );
document.write( "Find an equation of the line containing the given pair of points.<BR>\n" );
document.write( "(-1, -2) and (-4, -6)\r<BR>\n" );
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document.write( "x1		y1	x2	y2			<BR>\n" );
document.write( "-1      		-2      	-4      	-6			<BR>\n" );
document.write( "							<BR>\n" );
document.write( "slope m =		(y2-y1)/(x2-x1)					<BR>\n" );
document.write( "(	-6	-	-2    	)/(	-4    	-	-1    <BR>\n" );
document.write( "(	-4	/	-3	)  			<BR>\n" );
document.write( "m=		4/ 3					<BR>\n" );
document.write( "							<BR>\n" );
document.write( "Plug value of  the slope  and point (	-1    	,	-2    	) in<BR>\n" );
document.write( "Y 	=	m	x 	+	b		<BR>\n" );
document.write( "-2.00	=	-4/3	+	b			<BR>\n" );
document.write( "b=	-2	-	-4/3				<BR>\n" );
document.write( "b=	-  2/ 3						<BR>\n" );
document.write( "So the equation  will be							<BR>\n" );
document.write( "Y 	=	4/3	x 		- 2/3		\r<BR>\n" );
document.write( "\n" );
document.write( "The equation of the line in slope-intercept from is y=\r<BR>\n" );
document.write( "\n" );
document.write( "Fourth Question<BR>\n" );
document.write( "Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b<BR>\n" );
document.write( "(-4, 7); 4x=3y+2<BR>\n" );
document.write( "4	x	+	-3	y  	=	2	<BR>\n" );
document.write( "Find the slope of this line 							<BR>\n" );
document.write( "make y the subject							<BR>\n" );
document.write( "-3	y  	=	-4	x	+	2	<BR>\n" );
document.write( "Divide by 	-3						<BR>\n" );
document.write( "	y  	=	4/ 3	x		- 2/3	<BR>\n" );
document.write( "Compare this equation with y=mx+b							<BR>\n" );
document.write( "slope m =	4/3						<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 			4/3				<BR>\n" );
document.write( "m=	4/3	,point	(	-4	,	7	)<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( "7	=	-16/3	+	b			<BR>\n" );
document.write( "b=	37/3						<BR>\n" );
document.write( "m=	4/3						<BR>\n" );
document.write( "Plug value of  the slope  and b		in y = mx +b		<BR>\n" );
document.write( "The required equation is y  	=	4/3	x	+	37/3\r<BR>\n" );
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document.write( "<BR>\n" );
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document.write( "The equation of the line is y=\r<BR>\n" );
document.write( "\n" );
document.write( "Fifth question<BR>\n" );
document.write( "Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b<BR>\n" );
document.write( "(5, 7); 5x+y=4<BR>\n" );
document.write( "5	x	+	1	y  	=	4x+5y=2	<BR>\n" );
document.write( "Find the slope of this line 							<BR>\n" );
document.write( "make y the subject							<BR>\n" );
document.write( "1	y  	=	-5	x	+	4	<BR>\n" );
document.write( "Divide by 	1						<BR>\n" );
document.write( "	y  	=	-5      	x	+	4    	<BR>\n" );
document.write( "Compare this equation with y=mx+b							<BR>\n" );
document.write( "slope m =	-5    						<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 			-5    				<BR>\n" );
document.write( "m=	-5    	,point	(	5	,	7	)<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( "7	=	-25.00	+	b			<BR>\n" );
document.write( "b=	32						<BR>\n" );
document.write( "m=	-5    						<BR>\n" );
document.write( "Plug value of  the slope  and b		in y = mx +b		<BR>\n" );
document.write( "The required equation is y 	=	-5    	x	+	32    \r<BR>\n" );
document.write( "\n" );
document.write( "the equation of the line is y=\r<BR>\n" );
document.write( "\n" );
document.write( "Sixth question<BR>\n" );
document.write( "Write an equation of the line containing the given point and perpendicular to the given line.<BR>\n" );
document.write( "(5, -4); 4x+3y=8<BR>\n" );
document.write( "4      	x	+	3	y  	=	8	<BR>\n" );
document.write( "Find the slope of this line 							<BR>\n" );
document.write( "							<BR>\n" );
document.write( "3	y  	=	-4    	x	+	8	<BR>\n" );
document.write( "Divide by 	3						<BR>\n" );
document.write( "	y  	=	-1  1/ 3	x	+	2.67	<BR>\n" );
document.write( "Compare this equation with y=mx+b							<BR>\n" );
document.write( "slope m =	-4/ 3						<BR>\n" );
document.write( "							<BR>\n" );
document.write( "The slope of a line perpendicular to the above line will be the negative reciprocal	 3/4						<BR>\n" );
document.write( "m1*m2=-1							<BR>\n" );
document.write( "							<BR>\n" );
document.write( "							<BR>\n" );
document.write( "m=	 3/4	,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	=	15/4	+	b			<BR>\n" );
document.write( "b=	-31/4						<BR>\n" );
document.write( "m=	 3/4						<BR>\n" );
document.write( "The required equation is		y  	=	  3/ 4	x		-31/ 4\r<BR>\n" );
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document.write( "The equation of the line is y=\r<BR>\n" );
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document.write( "m.ananth@hotmail.ca </SPAN>\n" );
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