Question

Find the midpoint of the line segment joining points A and B.

A (6, -5); B (4, 1)
The midpoint of the line segment is ? (Type an ordered pair.)

Answer 1

To find the midpoint of a line segment joining two points, we can use the midpoint formula. The formula is as follows:

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

Let's calculate the midpoint of the line segment joining points A (6, -5) and B (4, 1):

Step 1: Identify the coordinates of point A and point B.

A: (6, -5)

B: (4, 1)

Step 2: Apply the midpoint formula.

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

Midpoint = ((6 + 4) / 2, (-5 + 1) / 2)

Midpoint = (10 / 2, -4 / 2)

Midpoint = (5, -2)

Therefore, the midpoint of the line segment joining points A (6, -5) and B (4, 1) is (5, -2).