The function given is:

$f(x) = 3 - \frac{2x}{7}$

This is a linear function, and it can be rewritten in slope-intercept form (which is $y = mx + b$), where $m$ is the slope and $b$ is the y-intercept:

$f(x) = -\frac{2}{7}x + 3$

Key Points:

1. Slope (m): The coefficient of $x$ is $-\frac{2}{7}$, which is the slope. This indicates that for every increase of 1 unit in $x$, $f(x)$ decreases by $\frac{2}{7}$ units.
2. Y-intercept (b): The constant term is 3, which is the value of $f(x)$ when $x = 0$. This means the graph of the function crosses the y-axis at $(0, 3)$.
3. Type of Function: It's a linear function because $x$ is to the first power, and the graph will be a straight line.

Would you like more details or have any questions about this function?

Here are some related questions you might find useful:

1. How do you find the x-intercept of a linear function?
2. How does the slope of a line affect its steepness?
3. What does a negative slope indicate about the direction of a line?
4. How can you graph this function on the coordinate plane?
5. What are the domain and range of this linear function?

Tip: To graph a linear function, it’s often helpful to start by plotting the y-intercept and then use the slope to determine other points on the line.