### Home > GB8I > Chapter 9 Unit 10 > Lesson INT1: 9.1.3 > Problem9-36

9-36.

Write the equation of an exponential function of the form $y = ab^{x}$ passing through the points $\left(2, 3\right)$ and $(5, \frac { 1 } { 9 })$.

Review problem 8-121.

Set up a system of equations using the two points.
Equation $1$: $3 = ab^{2}$
Equation 2: $\frac{1}{9} = ab^5$

$y=27(\frac{1}{3})^{x}$