### Home > CCA > Chapter 9 > Lesson 9.3.1 > Problem 9-72

If the graph of an exponential function passes through the points

To find an exponential function that goes through two given points, create a system of equations by substituting one () point into

*, then substituting the other point. Rewrite both equations in “*

*” form. Solve the system with the equal values method to find*

*and*

*and now you can write the equation.*

For example, find an exponential function that passes through )

*, and then substituting again with (*

*)*

* ^{ }*and

*Rewrite as*

^{ }Use the equal values method to find :

Use either original equation to find |

The equation of the exponential function that passes through the two given points is .