Question

Find the midpoint of the segment with the following endpoints.

(-4, -9) \text{ and } (4, -1)
(−4,−9) and (4,−1)

Answer 1

The midpoint of the segment with endpoints (-4, -9) and (4, -1) is calculated using the midpoint formula, resulting in the coordinates (0, -5).

Step-by-step explanation:

To find the midpoint of the segment with the endpoints (-4, -9) and (4, -1), we need to use the midpoint formula. The formula for the midpoint M of a segment with endpoints (x1, y1) and (x2, y2) is given by:

M = ⁠((x1 + x2) / 2, (y1 + y2) / 2)

Applying this formula to the given coordinates:

M = ((-4 + 4) / 2, (-9 - 1) / 2)

After doing the calculations:

M = (0 / 2, -10 / 2)

Which simplifies to:

M = (0, -5)

Therefore, the midpoint of the segment with endpoints (-4, -9) and (4, -1) is (0, -5).