Math Snap

STEP 1

1. The line has a slope of $\frac{1}{9}$.
2. The line passes through the point $(0, 14)$.
3. We are looking for the equation of the line in the form $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

STEP 2

1. Identify the slope and y-intercept.
2. Write the equation of the line using the slope-intercept form.
3. Match the equation to the given options.

STEP 3

Identify the slope and y-intercept.
The slope $m$ is given as $\frac{1}{9}$.
The line passes through the point $(0, 14)$, which means the y-intercept $b$ is $14$.

STEP 4

Write the equation of the line using the slope-intercept form $y = mx + b$.
Substitute the values of $m$ and $b$ into the equation:
$$y = \frac{1}{9}x + 14$$

Match the equation to the given options.
The equation $y = \frac{1}{9}x + 14$ matches option (D).
The correct equation representing the line is:
$\boxed{y = \frac{1}{9}x + 14}$