To find the slope between the two points \((3, 5)\) and \((-7, 10)\), use the slope formula:

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

where:
- \( (x_1, y_1) = (3, 5) \)
- \( (x_2, y_2) = (-7, 10) \)

Substitute these values into the formula:

\[
m = \frac{10 - 5}{-7 - 3} = \frac{5}{-10} = -\frac{1}{2}
\]

So, the slope \( m = -\frac{1}{2} \).

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Here are 5 additional questions on slope:
1. How do you find the slope of a line if you only know the line’s equation?
2. What does a zero slope represent on a graph?
3. Can the slope be positive, and what would that indicate about the line?
4. How would you interpret an undefined slope between two points?
5. How do you calculate the slope of a line perpendicular to a given line?

**Tip:** A negative slope indicates that the line decreases as it moves from left to right.

Learn how to calculate the slope between two points, (3, 5) and (-7, 10), using the slope formula. This guide provides a step-by-step solution, explaining key concepts in coordinate geometry. Ideal for students in Grades 8-10.

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