Calculate the midpoint of the line segment joining the points (-1, 5) and (3, -3).

Question

UpStudy AI · Accepted Answer

To find the **midpoint** of a line segment connecting two points in a 2-dimensional plane, you can use the **midpoint formula**.

Given two points:
- Point $$ A (x_1, y_1) $$
- Point $$ B (x_2, y_2) $$

The midpoint $$ M (x_m, y_m) $$ is calculated as:
$$
x_m = \frac{x_1 + x_2}{2}, \quad y_m = \frac{y_1 + y_2}{2}
$$

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### Applying the Formula

Let's apply this formula to the given points:
- Point $$ A (-1, 5) $$
- Point $$ B (3, -3) $$

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

2. **Calculate the y-coordinate of the midpoint:**
   $$
   y_m = \frac{5 + (-3)}{2} = \frac{2}{2} = 1
   $$

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### Conclusion

The midpoint $$ M $$ of the line segment joining the points $$ (-1, 5) $$ and $$ (3, -3) $$ is:
$$
M (1, 1)
$$
The midpoint is (1, 1).

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