document.write( "Question 76579This question is from textbook Elementary and Intermediate algebra
\n" ); document.write( ": Graph the line that passes through the given point and has the given slope.\r
\n" ); document.write( "\n" ); document.write( "41. (3,1) m= 2/3\r
\n" ); document.write( "\n" ); document.write( "41. (-2, 3) m= -1\r
\n" ); document.write( "\n" ); document.write( "I am giving you two problems because the first one is in fraction and the other is not. So I need step by step instruction on how to do this.\r
\n" ); document.write( "\n" ); document.write( "Many Thanks!\r
\n" ); document.write( "\n" ); document.write( "Amy
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Algebra.Com's Answer #54921 by ankor@dixie-net.com(22740)\"\" \"About 
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Graph the line that passes through the given point and has the given slope.
\n" ); document.write( ":
\n" ); document.write( "We are given the point and the slope, use the point/slope equation which is:
\n" ); document.write( "y - y1 = m(x-x1)
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\n" ); document.write( "41. (3,1) m = 2/3
\n" ); document.write( "In this problem: x1 = 3; y1 = 1; m = 2/3
\n" ); document.write( "y - 1 = (2/3)(x - 3)
\n" ); document.write( "y - 1 = (2/3)x - (2/3)3
\n" ); document.write( "y - 1 = (2/3)x - 2
\n" ); document.write( "y = (2/3)x - 2 + 1
\n" ); document.write( "y = (2/3)x - 1
\n" ); document.write( ":
\n" ); document.write( "Plot 3 points, using x = -3, 0, +3, find y for each.
\n" ); document.write( " x | y
\n" ); document.write( "------
\n" ); document.write( "-3 |-3
\n" ); document.write( " 0 |-1
\n" ); document.write( "+3 |+1
\n" ); document.write( ":
\n" ); document.write( "The graph should look like this:
\n" ); document.write( "\"+graph%28+300%2C+200%2C+-6%2C+6%2C+-6%2C+6%2C+%282%2F3%29x+-+1%29+\"
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\n" ); document.write( ":
\n" ); document.write( "41. (-2, 3) m = -1
\n" ); document.write( "Using the same method:
\n" ); document.write( "x1 = -2, y1 = 3, m = -1
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\n" ); document.write( "y - 3 = -1(x - (-2))
\n" ); document.write( "y - 3 = -1(x + 2)
\n" ); document.write( "y - 3 = -x - 2
\n" ); document.write( "y = -x - 2 + 3
\n" ); document.write( "y = -x + 1
\n" ); document.write( ":
\n" ); document.write( "Plot 3 points, using x = -3, 0, +3, find y for each.
\n" ); document.write( " x | y
\n" ); document.write( "------
\n" ); document.write( "-3 |+4
\n" ); document.write( " 0 |+1
\n" ); document.write( "+3 |-2
\n" ); document.write( ":
\n" ); document.write( "The graph should look like this:
\n" ); document.write( "\"+graph%28+300%2C+200%2C+-6%2C+6%2C+-6%2C+6%2C+-x+%2B+1%29+\"
\n" ); document.write( ":
\n" ); document.write( "How about this? Can you do this now?
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