Answer:
The new coordinates of the endpoints AB are A'(8,-1) and B'(6,4)
Step-by-step explanation:
we know that
The rule of the translation by the line segment AB is
(x,y)-----> (x+3,y)
we have
A(5,-1) and B(3,4)
Applying the rule of the translation to each ordered pair
Coordinates of point A
A(5,-1) -----> A'(5+3,-1)
A(5,-1) -----> A'(8,-1)
Coordinates of point B
B(3,4) -----> B'(3+3,4)
B(3,4) -----> B'(6,4)