Find the midpoint of the line segment whose endpoints are given. $$ (-6,-5),(-3,5) $$ The midpoint is $$ \square $$ of 2 (Simplify your answer.)

Question

UpStudy AI · Accepted Answer

To find the midpoint of the line segment with endpoints $$(-6, -5)$$ and $$(-3, 5)$$, you can use the midpoint formula:

$$
\text{Midpoint} = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
$$

Where $$(x_1, y_1)$$ and $$(x_2, y_2)$$ are the coordinates of the two endpoints.

**Step-by-Step Calculation:**

1. **Calculate the x-coordinate of the midpoint:**
   $$
   \frac{-6 + (-3)}{2} = \frac{-9}{2} = -\frac{9}{2}
   $$

2. **Calculate the y-coordinate of the midpoint:**
   $$
   \frac{-5 + 5}{2} = \frac{0}{2} = 0
   $$

**Therefore, the midpoint is:**

$$
\left( -\frac{9}{2},\ 0 \right)
$$

**Final Answer:**
$$
\boxed{\left( -\dfrac{9}{2},\ 0 \right)}
$$
The midpoint is $$\left( -\frac{9}{2},\ 0 \right)$$.

Find the midpoint of the line segment whose endpoints are given. \( (-6,-5),(-3,5) \) The midpoint is \( \square \) of 2 (Simplify your answer.)