To calculate the distance between the two points $(-4, 7)$ and $(-2, 5)$, you can use the distance formula:

$\text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Given points: $(x_1, y_1) = (-4, 7)$ $(x_2, y_2) = (-2, 5)$

Substitute the values into the formula:

$\text{Distance} = \sqrt{((-2) - (-4))^2 + (5 - 7)^2}$

Simplify the expressions:

$\text{Distance} = \sqrt{(2)^2 + (-2)^2}$ $\text{Distance} = \sqrt{4 + 4} = \sqrt{8}$

Simplify the square root:

$\text{Distance} = \sqrt{8} = 2\sqrt{2} \approx 2.83$

So, the distance between the points $(-4, 7)$ and $(-2, 5)$ is $2\sqrt{2}$, which is approximately 2.83 units.

Would you like more details or have any questions? Here are some related questions you might find interesting:

1. How would the distance change if the points were $(-4, 7)$ and $(-2, 9)$?
2. What is the midpoint between the points $(-4, 7)$ and $(-2, 5)$?
3. How do you calculate the distance between points on a 3D coordinate plane?
4. How does the Pythagorean theorem relate to the distance formula?
5. What is the length of the line segment connecting the points $(-4, 7)$ and $(-2, 5)$ in a coordinate plane?

Tip: Remember that the distance between two points in a coordinate plane is always a positive number, as it represents a physical length.