Question

What are the (x, y) coordinates of

the midpoint of the line segment
whose endpoints are (5, 1) and
(2, -3)?
A. (3.5, -1)
B. (3,-0.5)
C. (1, 1.15)
D. (5,-3)
E. (1, 2)

Answer 1

Answer: The midpoint of the line segment with endpoints (5, 1) and (2, -3) is (3.5, -1).

Explanation:

The midpoint formula states that the coordinates of the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) are:

((x1 + x2) / 2, (y1 + y2) / 2)

In this case, (x1, y1) = (5, 1) and (x2, y2) = (2, -3). Substituting these values into the formula, we get:

((5 + 2) / 2, (1 - 3) / 2) = (3.5, -1)

Therefore, the midpoint of the line segment with endpoints (5, 1) and (2, -3) is (3.5, -1). The correct answer is A. (3.5, -1).

Answer 2

To find the midpoint of a line segment with endpoints (x1, y1) and (x2, y2), we use the midpoint formula:

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

Using this formula, we can find the midpoint of the line segment whose endpoints are (5, 1) and (2, -3) as follows:

Midpoint = ((5 + 2) / 2, (1 + (-3)) / 2)
= (7/2, -2/2)
= (3.5, -1)

Therefore, the coordinates of the midpoint of the line segment are (3.5, -1).

So the correct answer is A. (3.5, -1).