Question

The midpoint, M , of segment AB has coordinates (2,−1) . If endpoint A of the segment has coordinates (−3,5) , what are the coordinates of endpoint B ?
The coordinates of endpoint B are?

Answer 1

the coordinates of endpoint B are (7,7)

Answer:

Solution given:

M(x,y)=(2,-1)

A$(x_{1},y_{1})=(-3,5)$

Let

B$(x_{2},y_{2})=(a,b)$

now

by using mid point formula

x=$\frac{x_{1}+x_{2}}{2}$

$ubstituting value

2*2=-3+a

a=4+3

a=7

again

y=$\frac{y_{1}+y_{2}}{2}$

$ubstituting value

-1*2=5-b

b=5+2

b=7

the coordinates of endpoint B are (7,7)