Find the coordinates of endpoint b, given the coordinates of endpoint a(2, -3) and the coordinates of midpoint is m(4, -6).

The co-ordinates of point B is (6, -9)

Solution:

Given that coordinates of endpoint A(2, -3) and the coordinates of midpoint is M(4, -6)

To find: co - ordinates of B

The midpoint m(x, y) is given by formula:

For endpoints and , midpoint is given by formula:

Here in this sum,

Substituting the values in above formula,

Comparing the L.H.S and R.H.S, we get

Thus co-ordinates of point B is (6, -9)

where is the figure

the answer is (-8,-5)

step-by-step explanation:

the endpoint to midpoint is half the length. the length is (-2,-1) so when you are at the midpoint just add it to it to find your answer -6+(-2)= -8 and -4+(-1)=-5 so (-8,-5)