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To find the slope of the line passing through the two points \((-3, -3)\) and \((3, -5)\), we use the slope formula:

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

Where:
- \((x_1, y_1) = (-3, -3)\)
- \((x_2, y_2) = (3, -5)\)

Now, plug in the values:

\[
m = \frac{-5 - (-3)}{3 - (-3)} = \frac{-5 + 3}{3 + 3} = \frac{-2}{6} = \frac{-1}{3}
\]

So, the slope of the line is \(-\frac{1}{3}\).

Would you like further details or explanations? Here are five related questions for more practice:

1. What does the slope of a line represent geometrically?
2. How do you find the slope if the line is vertical?
3. Can a line have a slope of 0? If yes, what does it represent?
4. How can you determine the slope from an equation of a line in standard form?
5. What is the slope between two points with the same \(y\)-coordinates?

**Tip:** The slope tells you how much the \(y\)-value changes for a unit change in the \(x\)-value along the line.

What is the slope of this line passing through the points (-3, -3) and (3, -5)?

Learn how to calculate the slope of a line passing through the points (-3, -3) and (3, -5). Using the slope formula, this problem demonstrates key concepts in coordinate geometry. Suitable for students in Grades 8-10.

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