Question

He starts from school, which is at the location indicated by the point on the grid above. He then walks to the library 5 units west. After the library, he goes to the gym, which is 6 units north. From the gym, he goes to his guitar class, which is 3 units west. Which of the following is the location of his guitar class?

Answer 1

So, David's guitar class is located at point (-6,2) on the coordinate grid.

Explanation:

David starts from school, which is two units to the right and four units down from the origin. This location is indicated by the point (2,-4).

He walks 5 units west to the library.

So, find the point that is 5 units to the west of point (2,-4). Distances east and west on the grid represent a change in the x-coordinate. Moving 5 units to the west on the grid from point (2,-4) places the new location at point (-3,-4).

He then walks 6 units north to the gym.

So, find the point that is 6 units to the north of point (-3,-4). Distances north and south on the grid represent a change in the y-coordinate. Moving 6 units to the north on the grid from point (-3,-4) places the new location at point (-3,2).

David then walks 3 units west to his guitar class.

So, find the point that is 3 units to the west of point (-3,2). Moving 3 units to the west on the grid from point (-3,2) places the new location at point (-6,2).