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.