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To find the slope (\(m\)) of the line passing through the two points \((12, 9)\) and \((-6, 3)\), we use the slope formula:

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

Here, \((x_1, y_1) = (12, 9)\) and \((x_2, y_2) = (-6, 3)\). Let's substitute these values into the formula:

\[
m = \frac{3 - 9}{-6 - 12}
\]
\[
m = \frac{-6}{-18}
\]
\[
m = \frac{1}{3}
\]

So, the slope of the line is \( \frac{1}{3} \), which corresponds to option **B**.

Would you like more details, or do you have any questions?

Here are 5 related questions to expand on this:
1. How would you calculate the slope if one of the points were at the origin?
2. What does the slope of a line represent geometrically?
3. How would the slope change if the order of the points were reversed?
4. How does the slope affect the steepness of a line?
5. What is the equation of the line passing through these two points?

**Tip:** The slope of a line can also be interpreted as the rate of change between two points.

Find the slope of the line passing through the points (12, 9) and (-6, 3).

Learn how to find the slope of a line passing through the points (12, 9) and (-6, 3) using the slope formula. This problem is a fundamental concept in coordinate geometry, suitable for students in Grades 7-9.

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