Find the midpoint of the segment with the following endpoints.
left parenthesis, minus, 2, comma, 3, right parenthesis, and , left parenthesis, minus, 6, comma, 9, right parenthesis
(−2,3) and (−6,9)

To find the midpoint of a segment with given endpoints, you can use the midpoint formula:

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

Given the endpoints \((-2, 3)\) and \((-6, 9)\), let's apply the formula:

\[
x_1 = -2, \quad y_1 = 3, \quad x_2 = -6, \quad y_2 = 9
\]

Substitute these values into the formula:

\[
\text{Midpoint} = \left(\frac{-2 + (-6)}{2}, \frac{3 + 9}{2}\right)
\]

Simplify the expressions:

\[
\text{Midpoint} = \left(\frac{-8}{2}, \frac{12}{2}\right)
\]

\[
\text{Midpoint} = (-4, 6)
\]

So, the midpoint of the segment is \((-4, 6)\).

Would you like to go over any details or have any questions?

Here are some related questions for practice:

1. What is the midpoint of \((1, 4)\) and \((5, 8)\)?
2. How do you find the midpoint of a vertical line segment?
3. If one endpoint is \((0, 0)\) and the midpoint is \((2, 3)\), what is the other endpoint?
4. Calculate the midpoint of the segment joining \((7, -2)\) and \((-1, 6)\).
5. Can the midpoint of a segment have non-integer coordinates?
6. How does the midpoint formula relate to the distance formula?
7. What is the geometric interpretation of a midpoint in a coordinate plane?
8. If the midpoint is \((-2, 5)\) and one endpoint is \((-6, 3)\), find the other endpoint.

**Tip:** Remember that the midpoint is always the average of the corresponding coordinates of the endpoints.

Learn how to find the midpoint of a line segment with endpoints (-2, 3) and (-6, 9). Step-by-step explanation using the midpoint formula. Suitable for students in Grades 6-8.

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