Question

The endpoints of a segment are M(2,5) and N(8,-1). What are the new endpoints of it if it is translated

Answer 1

Complete Question

The endpoints of a segment are M(2,5) and N(8,-1). What are the new endpoints of it if it is translated along the vector <-2,3>

Answer:

`M_n(0,8) \\N_n(6,2)`

Explanation:

From the question we are told that

`Point1= M(2,5)\\Point1= N(8,-1)`

Generally the translation along the vector <-2,3> is mathematically given as

`map(x,y)=(x-2,y+3)`

Therefore

`M(2,5)=(2-(2,5+3))\\M(2,5)=(0,8)`

`N(8,-1)=((8-2)(-1+3))\\N(8,-1)=((6,2)`

Generally the new endpoints are are mathematically given

`M_n(0,8) \\N_n(6,2)`