Find the Line Through Points (-2,-4) and (2,4): Coordinate Geometry

To find the slope of the line that passes through the points $(-2, -4)$ and $(2, 4)$, we use the slope formula:

• The slope $m$ is calculated using $m = \frac{y_2 - y_1}{x_2 - x_1}$.
• Plugging in the given points, $(x_1, y_1) = (-2, -4)$ and $(x_2, y_2) = (2, 4)$, we have:

$m = \frac{4 - (-4)}{2 - (-2)}$

$m = \frac{4 + 4}{2 + 2}$

$m = \frac{8}{4}$

After simplifying, we find:

$m = 2$

Therefore, the slope of the line is $m = 2$, corresponding to choice 3.