Apoint, beginning at (0,0), undergoes the following composition of translation. write an ordered pair for the points final position. t< 5,-7> and then t< -6,2>

(-1,-5)

Step-by-step explanation:

Starting at (0,0), we perform the first translation:

T<5,-7> implies that we move the point 5 units to the right (in the x (horizontal) direction), and 7 units DOWN in the y <vertical) direction.

From there we do the second translation: T<-6,2>

which means: 6 units to the left (in the horizontal direction) which takes us to  "-1" for the x value, and 2 units up (vertical) which takes us to -5 for the y value.

Therefore the new location is (-1,-5)