Question

what is the y-intercept of the function $f(x) = -\frac{2}{9}x + \frac{1}{3}$?

$-\frac{2}{9}$

$-\frac{1}{3}$

$\frac{1}{3}$

$\frac{2}{9}$

Explanation:

Step1: Recall slope-intercept form

The slope-intercept form of a linear function is $f(x) = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

Step2: Match given function to form

Compare $f(x) = -\frac{2}{9}x + \frac{1}{3}$ with $f(x) = mx + b$. Here, $b = \frac{1}{3}$.

Answer:

○ $\frac{1}{3}$