To find the distance between the two points $(-3, 5)$ and $(1, -1)$, we use the distance formula:

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

Where:

• $(x_1, y_1)$ is $(-3, 5)$
• $(x_2, y_2)$ is $(1, -1)$

Let's calculate the distance:

$d = \sqrt{(1 - (-3))^2 + (-1 - 5)^2}$ $d = \sqrt{(1 + 3)^2 + (-1 - 5)^2}$ $d = \sqrt{(4)^2 + (-6)^2}$ $d = \sqrt{16 + 36}$ $d = \sqrt{52}$ $d = 7.2 \text{ (rounded to the nearest tenth)}$

So, the distance between the points is 7.2.

Do you want more details or have any questions about this?

Here are 5 relative questions you might want to explore:

1. What is the distance formula and why does it work?
2. How does the Pythagorean Theorem relate to finding distances between points?
3. Can you find the midpoint between two points?
4. How do you calculate distances in 3-dimensional space?
5. What are some real-life applications of the distance formula?

Tip: Always double-check the signs of your coordinates when applying the distance formula to avoid errors.