Question

Given the line segment with points A (2, 2) and B (–4, 8). What are the coordinates for the midpoint of the line segment AB?

a. (-1, 5)
b. (-2, 6)
c. (-3, 7)
d. (-4, 8)

Answer 1

The midpoint of the line segment between points A (2, 2) and B (–4, 8) is calculated using the midpoint formula and the result is (–1, 5).

Step-by-step explanation:

To find the midpoint of a line segment between two points A (2, 2) and B (–4, 8), we use the midpoint formula. This formula is given by:

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

In our case, we have:

• A (2, 2) where x1=2 and y1=2
• B (–4, 8) where x2=–4 and y2=8

The midpoint M can be calculated as follows:

M = ((2 + (–4))/2, (2 + 8)/2)

M = (2 – 4)/2, 2 + 8)/2)

M = (–2/2, 10/2)

M = (–1, 5)

Therefore, the coordinates for the midpoint of the line segment AB are (–1, 5).