Question

game design a computer software designer is creating a new video game. the designer wants to create a secret passage that is halfway between the castle and the bridge. where should the secret passage be located?

Explanation:

Step1: Assume coordinates

Let's assume the coordinates of the bridge are $(x_1,y_1)$ and the coordinates of the castle are $(x_2,y_2)$. From the grid, if we assume each square is 1 unit, the bridge is at approximately $(10,14)$ and the castle is at approximately $(7,7)$.

Step2: Use mid - point formula

The mid - point formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$.
$x=\frac{10 + 7}{2}=\frac{17}{2}=8.5$
$y=\frac{14+7}{2}=\frac{21}{2}=10.5$

Answer:

The secret passage should be located at the point $(8.5,10.5)$ on the grid.