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The problem is asking to find the slope of the line that passes through the points (7, -10) and (-3, 8).

To find the slope \( m \), you can use the slope formula:

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

Here, the coordinates of the two points are:
- \( (x_1, y_1) = (7, -10) \)
- \( (x_2, y_2) = (-3, 8) \)

Now, substitute these values into the slope formula:

\[
m = \frac{8 - (-10)}{-3 - 7} = \frac{8 + 10}{-3 - 7} = \frac{18}{-10} = \frac{-9}{5}
\]

Thus, the slope is \( \frac{-9}{5} \).

Would you like more details or explanations on how this was calculated?

Here are 5 related questions:
1. How do you calculate the slope for vertical or horizontal lines?
2. What does a negative slope indicate about the line's direction?
3. How can you convert the slope-intercept form from given slope and points?
4. What happens to the slope if the points are reversed?
5. Can a slope be a whole number, and how?

**Tip**: Always ensure the difference in \( y \)-values is calculated first in the formula to avoid mistakes.

Find the slope of the line that goes through the points (7, -10) and (-3, 8).

Learn how to calculate the slope of a line passing through the points (7, -10) and (-3, 8) using the slope formula. This problem involves key concepts in coordinate geometry, suitable for students in Grades 8-10.

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