*Question by Eleanor C*: power!!!!!?

write a power function passing through the points

(5, 12) (7, 25)

hmm. i made a system and i solved for a and plugged in a, but then i got stuck…

power function is y=ax^b

**Best answer:**

*Answer by Math Tutor*

First find the slope:

Slope = m = ∆y/∆x = (25-12)/(7-5) = 13/2

Now use any given point to find b:

y = mx + b

12 = (13/2)(5) + b

12 = 65/2 + b

b = 12 – 65/2

b = (24-65)/2

b = -41/2

Then f(x) = (13/2)x – 41/2

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