The equation $f(x) = \frac{5}{3}x - 1$ is in slope-intercept form. The slope-intercept form of a linear equation is generally written as:

$f(x) = mx + b$

Where:

• $m$ is the slope of the line.
• $b$ is the y-intercept (the value of $f(x)$ when $x = 0$).

In this equation:

• $m = \frac{5}{3}$ (slope),
• $b = -1$ (y-intercept).

This makes $f(x) = \frac{5}{3}x - 1$ a clear example of the slope-intercept form.

Would you like additional details about how this form is used, or anything else?

Here are 5 related questions to deepen your understanding:

1. What is the significance of the slope in a linear equation, and how is it interpreted?
2. How do you determine if two linear equations are parallel or perpendicular based on their slopes?
3. How can you graph the equation $f(x) = \frac{5}{3}x - 1$ step by step?
4. How would this equation change if the slope were negative, or if the intercept were increased?
5. How do you rewrite this equation in standard form, $Ax + By = C$?

Tip: The slope $m$ tells you how much $f(x)$ changes for every unit increase in $x$. The larger the slope, the steeper the line.