The function $f(x) = 3x - 7$ is already given in slope-intercept form, which is generally written as:

$y = mx + b$

where:

• $m$ represents the slope, and
• $b$ represents the y-intercept.

For the function $f(x) = 3x - 7$:

• The slope $m = 3$.
• The y-intercept $b = -7$.

Steps to Graph the Function:

1. Plot the y-intercept: Start by marking the point $(0, -7)$ on the y-axis.
2. Use the slope: Since the slope is $3$, it can be interpreted as $\frac{3}{1}$. From the y-intercept, move up 3 units and right 1 unit to find another point on the line.
3. Draw the line: Connect the two points with a straight line, extending it across the graph.

Would you like to see a plotted graph of this function or need further details?

---

Here are some related questions to deepen understanding:

1. How do we determine the slope and y-intercept from different forms of linear equations?
2. What are other methods to graph linear functions besides the slope-intercept form?
3. How does the slope affect the steepness of the line?
4. What changes in the graph if we modify the slope or y-intercept values?
5. How would the graph look if we flipped the sign of the slope?

Tip: Remember, the slope $m$ indicates the line's direction and steepness. Positive slopes go up from left to right, while negative slopes go down.