What is the distance between the points $$ (-2, -3) $$ and $$ (3, 5) $$?

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To find the distance between the points $$ (-2, -3) $$ and $$ (3, 5) $$, we can use the distance formula, which is given by:

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

Here, $$ (x_1, y_1) = (-2, -3) $$ and $$ (x_2, y_2) = (3, 5) $$.

Now, let's substitute the values into the formula:

1. Calculate $$ x_2 - x_1 $$:
   $$
   x_2 - x_1 = 3 - (-2) = 3 + 2 = 5
   $$

2. Calculate $$ y_2 - y_1 $$:
   $$
   y_2 - y_1 = 5 - (-3) = 5 + 3 = 8
   $$

3. Now substitute these values into the distance formula:
   $$
   d = \sqrt{(5)^2 + (8)^2}
   $$

4. Calculate $$ (5)^2 $$ and $$ (8)^2 $$:
   $$
   (5)^2 = 25
   $$
   $$
   (8)^2 = 64
   $$

5. Add these results:
   $$
   25 + 64 = 89
   $$

6. Finally, take the square root:
   $$
   d = \sqrt{89}
   $$

Thus, the distance between the points $$ (-2, -3) $$ and $$ (3, 5) $$ is $$ \sqrt{89} $$.
The distance between the points $$ (-2, -3) $$ and $$ (3, 5) $$ is $$ \sqrt{89} $$.

What is the distance between the points \( (-2, -3) \) and \( (3, 5) \)?

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