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To solve for the slope \( m \) of the line passing through the points \((2, -4)\) and \((6, 4)\), we will use the slope formula:

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

Where:
- \((x_1, y_1) = (2, -4)\)
- \((x_2, y_2) = (6, 4)\)

Substitute the values into the formula:

\[
m = \frac{4 - (-4)}{6 - 2} = \frac{4 + 4}{4} = \frac{8}{4} = 2
\]

Thus, the slope \( m \) is \( 2 \).

Would you like more details, or have any questions?

Here are 5 related questions:
1. How do you calculate the slope of a vertical line?
2. What does a slope of zero represent in terms of a line?
3. How does the slope formula relate to the equation of a line in slope-intercept form?
4. What is the slope of a line that passes through points \((-3, 2)\) and \((4, 2)\)?
5. How does the steepness of a slope change as the value of \( m \) increases?

**Tip:** The slope of a line is often used to describe the rate of change in real-world applications, such as speed or growth rate.

Find the slope of the line that passes through these two points: (2, -4) and (6, 4).

Learn how to find the slope of the line passing through the points (2, -4) and (6, 4) using the slope formula. This problem covers key algebraic concepts such as coordinate geometry and the slope theorem. Suitable for students in Grades 7-9.

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