3 On a coordinate grid, the location of a lighthouse is at L, and the location of a buoy is at B. At noon, a ship is at the midpoint of the segment connecting the buoy and the lighthouse on the grid. Find the coordinates that best represent the ship's position at noon?

Using the midpoint formula, [tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex], we can find the coordinates that represents the position of the ship at noon.

Let [tex] L(-4, 7) = (x_1, y_1) [/tex] (given on the coordinate plane)

[tex] B(5, -3) = (x_2, y_2) [/tex] (given also)

Plug in the values into the formula and solve as follows:

[tex] M(\frac{-4 + 5}{2}, \frac{7 +(-3)}{2}) [/tex]

[tex] M(\frac{1}{2}, \frac{7 - 3}{2}) [/tex]

[tex] M(\frac{1}{2}, \frac{4}{2}) [/tex]

[tex] M(\frac{1}{2}, 2) [/tex]

Position of the ship at noon is best represented at [tex] (\frac{1}{2}, 2) [/tex]

3 On a coordinate grid, the location of a lighthouse is at L, and the location of a buoy is at B. At noon, a ship is at the midpoint of the segment connecting the buoy and the lighthouse on the grid. Find the coordinates that best represent the ship's position at noon?​

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3 On a coordinate grid, the location of a lighthouse is at L, and the location of a buoy is at B. At noon, a ship is at the midpoint of the segment connecting the buoy and the lighthouse on the grid. Find the coordinates that best represent the ship's position at noon?