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:

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

Step-by-step 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

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