Find the slope of the line that passes through each pair of points. (-3, 9), (-7, 6)

To find the slope of the line that passes through the points \((-3, 9)\) and \((-7, 6)\), you can use the slope formula:

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

Where:
- \( (x_1, y_1) = (-3, 9) \)
- \( (x_2, y_2) = (-7, 6) \)

Substitute the coordinates into the formula:

\[
m = \frac{6 - 9}{-7 - (-3)} = \frac{-3}{-7 + 3} = \frac{-3}{-4} = \frac{3}{4}
\]

So, the slope of the line is \( \frac{3}{4} \).

Would you like more details or have any questions?

Here are five related questions:
1. What does the slope of a line represent in a real-world context?
2. How do you find the slope if the line is vertical?
3. Can the slope of a line be negative? What does that indicate?
4. What is the slope-intercept form of a linear equation?
5. How would the slope change if the coordinates of the points were reversed?

**Tip:** The slope tells us how steep a line is, with positive slopes rising and negative slopes falling as you move from left to right.

Learn how to find the slope of a line passing through the points (-3, 9) and (-7, 6) using the slope formula. Understand the concepts of coordinate geometry and linear equations with step-by-step calculations.

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