Question

he starts from school, which is at the location indicated by the point on the grid shown. 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. what is the location of his guitar class?
a. point (-6,2)
b. point (2,-6)
c. point (4,2)
d. point (1,-6)

Explanation:

Step1: Determine school's coordinates

The school is at point $(2, - 4)$.

Step2: Calculate library's coordinates

Moving 5 units west (subtract 5 from x - coordinate). New x - coordinate is $2-5=-3$, y - coordinate remains the same. So library is at $(-3,-4)$.

Step3: Calculate gym's coordinates

Moving 6 units north (add 6 to y - coordinate). x - coordinate remains the same. So gym is at $(-3,-4 + 6)=(-3,2)$.

Step4: Calculate guitar - class coordinates

Moving 3 units west (subtract 3 from x - coordinate). New x - coordinate is $-3-3=-6$, y - coordinate remains the same. So guitar class is at $(-6,2)$.

Answer:

A. point (-6,2)