Coordinate plane with two points labeled; each as a ship. Ship A: (7,4). Ship B: (-9,-1). Note: 1 grid unit = 400 milesIn a holodeck simulation, the Starship Enterprise at point A is traveling to meet the Excelsior Transport Ship at point B. The ship at point B is transporting an alien ambassador who must board the Enterprise but cannot use the transporter. The ships have agreed to meet at the midpoint of the line segment connecting the two ships’ current positions. Find the holodeck grid coordinates of the meeting location? Which of the formulas above is useful?

The holodeck grid coordinates of the meeting location of the two ships, that is, the midpoint of the line segment AB connecting the two ship's current position is (-1, 1.5), computed using the midpoint formula.

What is the midpoint formula?

In a coordinate system, the midpoint of a line segment AB, where the coordinates are A (x₁, y₁) and B (x₂, y₂), is given as M (x, y), where,

x = (x₁ + x₂)/2, and y = (y₁ + y₂)/2.

How to solve the question?

In the question, we are asked to find the holodeck grid coordinates of the meeting location of the two ships, that is, the midpoint of the line segment AB connecting the two ship's current positions.

Coordinates of A = (7, 4),

Coordinates of B = (-9, -1),

Hence, the coordinates of the midpoint, assuming M (x, y) are:

x = (7 - 9)/2 = -1,

y = (4 - 1)/2 = 3/2 or 1.5.

Hence, the holodeck grid coordinates of the meeting location of the two ships, that is, the midpoint of the line segment AB connecting the two ship's current position is (-1, 1.5), computed using the midpoint formula.

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