Question

the coordinate plane below represents a town. each unit of the coordinate plane represents 1 mile. a library is located at (-2, -4). a hospital is exactly 7 miles north of the library. place the blue dot where the hospital is located.

Explanation:

Step1: Identify north direction

North corresponds to +y-axis movement.

Step2: Calculate new y-coordinate

Add 7 to library's y-value:
$-4 + 7 = 3$

Step3: Keep x-coordinate unchanged

Library's x-value is $-2$, so hospital's x-value stays $-2$.

Answer:

The hospital is located at the coordinate $(-2, 3)$ (on the grid, this is the point 2 units left of the y-axis and 3 units above the x-axis).