document.write( "Question 163816: I am asking for help with this. I am having trouble with it.\r
\n" ); document.write( "\n" ); document.write( "3. The points (3, 9), (5, 13), (15, 33), (34, 71), (678, 1359), and (1234, 2471) all lie on line M.
\n" ); document.write( "The points (3, -9), (5, -11), (15, -21), (34, -40), (678, -684), and (1234, -1240) all lie on line N.
\n" ); document.write( "a. Form the equations of both the lines. Show your work.
\n" ); document.write( "b. What are the co-ordinates of the point of intersection of lines M and N?
\n" ); document.write( "c. Write the co-ordinates of the intersections of lines M and N with the x-axis.
\n" ); document.write( "d. Write the co-ordinates of the intersection of lines M and N with the y-axis.
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Algebra.Com's Answer #120689 by scott8148(6628)\"\" \"About 
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a. M __ slope is (13-9)/(5-3) __ 4/2 __ 2
\n" ); document.write( "__ using point-slope __ y-9=2(x-3) __ y-9=2x-6 __ y=2x+3\r
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\n" ); document.write( "\n" ); document.write( "N __ slope is (-11-(-9))/(5-3) __ -2/2 __ -1
\n" ); document.write( "__ using point-slope __ y-(-9)=-1(x-3) __ y+9=-x+3 __ y=-x-6\r
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\n" ); document.write( "\n" ); document.write( "b. at the point of intersection, the x's and y's of both equations are the same
\n" ); document.write( "__ 2x+3=-x-6 __ 3x=-9 __ x=-3
\n" ); document.write( "__ substituting to find y __ y=2(-3)+3 __ y=-3
\n" ); document.write( "__ intersection is (-3,-3)\r
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\n" ); document.write( "\n" ); document.write( "c. at x-intercept, y=0
\n" ); document.write( "__ M __ 0=2x+3 __ -3=2x __ -3/2=x __ x-intercept is (-3/2,0)
\n" ); document.write( "__ N __ 0=-x-6 __ 6=-x __ -6=x __ x-intercept is (-6,0)\r
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\n" ); document.write( "\n" ); document.write( "d. at y-intercept, x=0
\n" ); document.write( "__ M __ y=2(0)+3 __ y=+3 __ y-intercept is (0,3)
\n" ); document.write( "__ N __ y=-(0)-6 __ y=-6 __ y-intercept is (0,-6)
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