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.