Hi guys, please help me!1 I am having a tough time understanding this equation. Best answer goes to the person who shows there work.

So... here is the equation...

At the half time show, a marching band marched in formation. The lead drummer started at the point, (-2,-5) and moved three steps up and one step right.

a. right a rule to describe the translation
b. what were the coordinates of the drummers final position?

I guess x is right and y is up

final x = initial x + change in x
final y = initial y + change in y

beginning x = -2
moves one right
-2 + 1 = -1

beginning y = -5
moves 3 up
-5 + 3 = -2

b) (-1 , -2)

To find the final coordinates of the drummer's position, we can follow these steps:

a. Right a rule to describe the translation:
In this case, the marching band moved three steps up and one step right. We can represent this translation using vector notation. The rule for the translation can be written as:

Translation = (1, 3)

This means that for every step to the right, the drummer moves one unit to the right, and for every step up, the drummer moves three units up.

b. Calculate the final coordinates of the drummer's position:
To find the final coordinates, we need to add the translation vector to the initial point.

Starting point: (-2, -5)
Translation: (1, 3)

To calculate the final coordinates, we add the corresponding components of the starting point and the translation vector:
Final X-coordinate: -2 + 1 = -1
Final Y-coordinate: -5 + 3 = -2

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

Now that we have shown the work and explained the steps, we can conclude that the final coordinates of the drummer's position are (-1, -2).