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Writing an Exponential Equation Through 2 Points with a Horizontal Asymptote

In this video I will demonstrate how to find the equation of an exponential through 2 points: (3, 12.5) and (4, 11.25) with a horizontal asymptote. I share the general equation, y=a(b)^x+k and how I will create a system of equations by plugging in the x- and y-values given in the problem with a horizontal asymptote at y = 10 (replacing the "k" value). Last, I show how to solve for the parameters, a and b, by solving the system with an elimination method. Here is the link to the video I reference that you should look at first. It does not have a k-value (it's zero) and is an easier problem to start with and solve. Finding an Exponential Equation Through Two Points with an asymptote at y = 0:    • Finding the Equation of an Exponential thr...