Question

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?​

Answer 1

Answer:

$(\frac{1}{2}, 2)$

Step-by-step explanation:

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

Let $L(-4, 7) = (x_1, y_1)$ (given on the coordinate plane)

$B(5, -3) = (x_2, y_2)$ (given also)

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

$M(\frac{-4 + 5}{2}, \frac{7 +(-3)}{2})$

$M(\frac{1}{2}, \frac{7 - 3}{2})$

$M(\frac{1}{2}, \frac{4}{2})$

$M(\frac{1}{2}, 2)$

Position of the ship at noon is best represented at $(\frac{1}{2}, 2)$