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Common Core Alignment ![]() |
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#1 |
Join Date: Mar 2011
Posts: 1
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![]() Find the relation ship between the set of ordered pairs
(-3, 7), (-1, 3), (3, -5), (4,-7) please help me with this Ive been stuck on this for a very, very long time. Im not looking to graph them I mean like (example) (4, 2), ...etc the relationship between them is that y is the square root of x. I know for the question I asked it isnt multiplication or division or the square root so it must be some sort of equation right. Ive been working on this for two days............. ![]() |
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#2 |
Join Date: Oct 2010
Posts: 4
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![]() The relationship between the all the set of order pairs is -2.
My teacher helped me though. How I got it: I took 2 of each of the order pairs. (-3,7) & (4,-7) Note: There suppose to be fractions. 7- -7 7+7 14 Divide! ____ = ____= ___=-2 -3-4 -3-4 -7 Let me explain. You put the second Y on top then the first Y. After you do that you put the second X at the bottom then put the first X at the bottom.(X1,Y1) & (X2,Y2). After that you do your interger rules. Then you add 7+7=14, then you add -3+-4=-2. Then you divide 14/-7=-2. You can do that with either 2 order pairs you want. |
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#3 |
Join Date: Oct 2010
Posts: 7
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![]() Well in order to find the relation you have to find the slope for each ordered pairs.
(-3,7) (-1,3) (3,-5) (4,-7) NOTE THIS IS ONLY IF YOU DON'T KNOW HOW TO FIND THE SLOPE So you first take the first ordered pairs (3,-5) and (4,-7). Then you set them up like this: -7- -5 = -2 ____ ___ 3 - 4 = 1 Then afterwards you would divide the denominator by the numerator to get your slope and that should be -2. Now you should know that the slope rules (Y2 - Y1) (X2 - X1) Thats how you get your slope. you do that for the other two ordered pairs and you should also get -2. So since you got -2 for both of you slopes then you found the relation. |
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#4 | |
![]() ![]() ![]() Join Date: Dec 2008
Posts: 249
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![]() Quote:
To check that it is a linear function look to see that there is a constant rate of change (slope) between the points. (-3, 7), (-1, 3): m = (3 - 7) / (-1 - -3) = -4 / 2 = -2 (-1, 3), (3, -5): m = (-5 - 3) / (3 - -1) = -8 / 4 = -2 (3, -5), (4, -7): m = (-7 - -5) / (4 - 3) = -2 / 1 = -2 So yes, there is a constant rate of change between the points. To find the equation try using point-slope form of a line. First pick a point, say (4, -7). Point-slope form is y - y1 = m(x - x1). Then y - -7 = -2(x - 4) y + 7 = -2x + 8 y = -2x + 1 Hope this helps. |
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#5 |
Join Date: Apr 2011
Posts: 1
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![]() Oh this is helpful:d
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#6 |
Join Date: Apr 2011
Posts: 1
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![]() Hey thanks!!! this is awesome
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#7 | |
Join Date: Apr 2011
Posts: 2
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![]() Quote:
y = -2x + 1 |
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#8 |
Join Date: Feb 2011
Posts: 7
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![]() HOW DO U MAKE A NEW POST???????????????
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#9 |
Join Date: Mar 2011
Posts: 3
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![]() I tink dey -2 n add 3
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