Find the distance between the two points. Round your answer to the nearest tenth, if necessary. $$ (-3,6) $$ and $$ (5,-9) $$

Question

UpStudy AI · Accepted Answer

To find the distance between the points $$(-3, 6)$$ and $$ (5, -9) $$, we can use the **distance formula**:

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

Let's assign the coordinates:
- $$(x_1, y_1) = (-3, 6)$$
- $$(x_2, y_2) = (5, -9)$$

Now, plug the values into the formula:

$$
\begin{align*}
x_2 - x_1 &= 5 - (-3) = 8 \
y_2 - y_1 &= -9 - 6 = -15 \
\end{align*}
$$

$$
\text{Distance} = \sqrt{8^2 + (-15)^2} = \sqrt{64 + 225} = \sqrt{289} = 17
$$

**Answer:** 17
The distance between the points $$(-3, 6)$$ and $$ (5, -9) $$ is 17.

Find the distance between the two points. Round your answer to the nearest tenth, if necessary. \( (-3,6) \) and \( (5,-9) \)