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?

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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.

Learn how to graph the linear function f(x) = 3x - 7 by identifying its slope and y-intercept, using the slope-intercept form. This guide includes step-by-step instructions for plotting points based on slope and intercept, making it suitable for Grades 8-10.

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