To translate a point along a vector, add the components of the vector to the coordinates of the point. Therefore by solving, the translated point is (-3, 5).
To translate a point along a vector, you need to add the components of the vector to the coordinates of the point.
The vector <{-5,-5}> has components -5 in the x-direction and -5 in the y-direction.
So to translate the point (2, 10) along this vector, you add -5 to the x-coordinate and -5 to the y-coordinate:
x = 2 + (-5) = -3
y = 10 + (-5) = 5
Therefore, the translated point is (-3, 5).