Question

midpoint of the line segment between 2 5 and -4 9

Answer 1

To find the midpoint of a line segment between two points, you can use the midpoint formula:

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

Given the points (2, 5) and (-4, 9):

- \(x_1 = 2\)
- \(y_1 = 5\)
- \(x_2 = -4\)
- \(y_2 = 9\)

Now, plug these values into the formula:

\[
\text{Midpoint} = \left( \frac{2 + (-4)}{2}, \frac{5 + 9}{2} \right)
\]

Calculating each component:

1. For the x-coordinate:
\[
\frac{2 - 4}{2} = \frac{-2}{2} = -1
\]

2. For the y-coordinate:
\[
\frac{5 + 9}{2} = \frac{14}{2} = 7
\]

Thus, the midpoint of the line segment is:

\[
\text{Midpoint} = (-1, 7)
\]