Find the midpoint of the segment with the following endpoints.

left parenthesis, 7, comma, 4, right parenthesis, and , left parenthesis, 3, comma, minus, 2, right parenthesis

(7,4) and (3,−2)

To find the midpoint of the segment with endpoints \((7, 4)\) and \((3, -2)\), use the midpoint formula:

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

Given:

\[
x_1 = 7, \quad y_1 = 4, \quad x_2 = 3, \quad y_2 = -2
\]

Substitute these values into the formula:

\[
\text{Midpoint} = \left(\frac{7 + 3}{2}, \frac{4 + (-2)}{2}\right)
\]

Simplify the expressions:

\[
\text{Midpoint} = \left(\frac{10}{2}, \frac{2}{2}\right)
\]

\[
\text{Midpoint} = (5, 1)
\]

So, the midpoint of the segment is \((5, 1)\).

Do you have any questions or would you like more details?

Here are some related questions for further practice:

1. What is the midpoint of \((-3, 5)\) and \((9, -7)\)?
2. How would you find the midpoint if one endpoint is \((0, 0)\)?
3. If the midpoint of a segment is \((2, 3)\) and one endpoint is \((1, 2)\), what is the other endpoint?
4. Calculate the midpoint of \((4, -6)\) and \((-8, 10)\).
5. Can the midpoint be the same as one of the endpoints?
6. What does the midpoint represent in a coordinate plane?
7. How would you find the midpoint if the coordinates are in fractions?
8. If the midpoint is \((0, 0)\) and one endpoint is \((5, 5)\), find the other endpoint.

**Tip:** The midpoint divides a line segment into two equal parts, each of which is half the length of the original segment.

Learn how to find the midpoint of a segment with endpoints (7, 4) and (3, -2) using the midpoint formula. This problem involves basic coordinate geometry and is suitable for students in Grades 7-9.

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