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21 votes
21 votes
Find the exponential equation using points (-1,6) and (2,3/4)

User Gpr
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1 Answer

12 votes
12 votes

Answer: 3

Explanation:

You are solving a system of equations y1 = abx1 and y2 = abx2, so plug the x and y coordinates into the equations to solve for a and b:6 = ab1 & 3/4 = ab-2Since a = 6/b, we can use this in the second equation to solve for b:3/4 = (6/b)b-23/4 = 6/b36/(3/4) = b38 = b32 = b,which means that a = 3.Now we just input our a and b values into y = abx, so our equation is y = 3*2x. I hope this helps

User Vijesh Venugopal
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2.8k points