Question 184684: I need to figure out the slope and an equation for the following points.
(1,4), (2,16), (3,64), (4,256), (5,1024), (6,4096). I know that each time the Y value goes up by *4, but I can not figure out what the exact slope is. Please Help!!!!
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! I need to figure out the slope and an equation for the following points.
(1,4), (2,16), (3,64), (4,256), (5,1024), (6,4096).
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there is no consistent slope; the points are not on a line.
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The equation for these points is an exponential equation:
y = ab^x
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Substitute a couple of points into the form:
16 = ab^2
4 = ab
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Divide the 2nd into the 1st to get rid of the "a" factor:
4 = b
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Substitute that back into one of the equations to solve for "a".
4 = a*4
a = 1
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Equation:
y = 4^x (this is the equation the points fit into)
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Here is the graph; you can see the slope is constantly changing.
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Cheers,
Stan H.
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