# If the first point is (-2, 45/4) and the second point is (1, 10/3), how do I find the formula for exponential growth?

##### 1 Answer

Any exponential growth/decay will fit the general form:

Use the two points to write two equations and then solve for

#### Explanation:

Substitute the point

Substitute the point

We can make A disappear by dividing equation [2] by equation [3]:

Substitute the value of

The exponential function and the natural logarithm are inverses, therefore, they cancel:

Use the point,

Substitute into equation [4]: