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To find the slope of the line passing through the points \((9, -10)\) and \((14, 5)\), we can use the slope formula:

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

Where:
- \((x_1, y_1) = (9, -10)\)
- \((x_2, y_2) = (14, 5)\)

Substitute the values into the formula:

\[
m = \frac{5 - (-10)}{14 - 9} = \frac{5 + 10}{5} = \frac{15}{5} = 3
\]

Therefore, the slope of the line is \(3\), which is already in its simplest form.

Would you like more details on how this formula works or have any further questions?

Here are 5 related questions you might explore:
1. How do you find the slope of a vertical line?
2. What does a slope of zero represent in a graph?
3. How can you interpret a negative slope geometrically?
4. What is the equation of a line if you know the slope and one point?
5. How do you find the midpoint between two points on a line?

**Tip:** The slope indicates the steepness of a line. A larger absolute value means a steeper slope.

What is the slope of the line that passes through the points (9, -10) and (14, 5)?

Learn how to find the slope of the line passing through the points (9, -10) and (14, 5) using the slope formula. This problem covers key algebra concepts, including linear equations and slope calculations. Suitable for students in Grades 7-9.

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