At the halftime show, a marching band marched in formation. the lead drummer started at a point with coordinates (-2, -5) and moved 3 steps up and 1 step right. a. write a rule to describe the translation.
b. what were the coordinates of the drummer's final position?

Part a) The rule of the translation is (x,y) > (x+1,y+3)

Part b) The coordinates of the drummer's final position are (-1,-2)

Step-by-step explanation:

Part a) Write a rule to describe the translation

we know that

The lead drummer moved 3 steps up and 1 step right.

so

3 steps up > that means (y+3)

1 step right ---> that means (x+1)

The rule of the translation is equal to

(x,y) > (x+1,y+3)

Part b) What were the coordinates of the drummer's final position?

we know that

The drummer's initial position is the point (-2,-5)

Applying the rule of the translation

(x,y) > (x+1,y+3)

(-2,-5) > (-2+1,-5+3)

(-2,-5) > (-1,-2)

therefore

The coordinates of the drummer's final position are (-1,-2)