### Home > CCA2 > Chapter 12 > Lesson 12.2.1 > Problem12-102

12-102.

Given the points $(2, 9)$ and $(4, 324)$:

1. Write the equation of a line that passes through them.

Use $y = mx + b$ and the given points to solve for $m$ and $b$.

$9 = 2m + b$
$324 = 4m + b$

2. Write the equation of an exponential function with an asymptote at $y = 0$ that passes through them.

Use $y = a(b)^x$ and the given points to solve for $a$ and $b$.

$y = 0.25(6)^x$