Question

What is the midpoint of the line segment with endpoints (-3,7) and (9,,-2)

Answer 1

To find the midpoint of a line segment with endpoints \((-3, 7)\) and \((9, -2)\), you can use the midpoint formula:

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

where \((x_1, y_1)\) are the coordinates of the first endpoint and \((x_2, y_2)\) are the coordinates of the second endpoint.

Plugging in the coordinates:

- \(x_1 = -3\)
- \(y_1 = 7\)
- \(x_2 = 9\)
- \(y_2 = -2\)

Now, calculate the midpoint:

\[
\text{Midpoint} = \left( \frac{-3 + 9}{2}, \frac{7 + (-2)}{2} \right)
\]

Calculating the \(x\)-coordinate:

\[
\frac{-3 + 9}{2} = \frac{6}{2} = 3
\]

Calculating the \(y\)-coordinate:

\[
\frac{7 - 2}{2} = \frac{5}{2} = 2.5
\]

So, the midpoint of the line segment is:

\[
\text{Midpoint} = (3, 2.5)
\]