Question

. Line segment AB is formed by point A(5, -1) and

B(3,4). Ben translates this line segment to the right
by 3 units. Find the new coordinates of the endpoints
of the translated line segment A'B'. Label the new
points appropriately.​

Answer 1

The new coordinates of the endpoints AB are A'(8,-1) and B'(6,4)

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)