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To calculate the slope (denoted as \( m \)) of the line represented by a set of points, we use the formula:

\[
m = \frac{{y_2 - y_1}}{{x_2 - x_1}}
\]

We can pick any two points from the table. Let's select the points \( (3, -6) \) and \( (0, -2) \).

Using these points:
\[
m = \frac{{-2 - (-6)}}{{0 - 3}} = \frac{{-2 + 6}}{{0 - 3}} = \frac{4}{-3}
\]

Thus, the slope is:

\[
m = -\frac{4}{3}
\]

If you need further details or clarification, let me know!

Here are some related questions for deeper understanding:
1. How do we calculate the slope for other pairs of points in this table?
2. What does the negative slope indicate about the direction of the line?
3. Can we verify the same slope for all pairs of points in the table?
4. How does slope relate to the equation of a line in slope-intercept form?
5. What happens if two points have the same x-coordinate?

**Tip:** Always make sure to subtract the coordinates in the same order (y-values over x-values) to maintain consistency when calculating slope!

What is the slope based on the given set of points: (3, -6), (0, -2), (-3, 2), (-6, 6), (-9, 10), (-12, 14)?

Learn how to find the slope of a line using the slope formula with points (3, -6), (0, -2), and others. This problem covers key algebra concepts, including calculating the slope of a line and understanding its direction. Suitable for students in Grades 7-10.

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