The midpoint of the segment connecting the points labeled k and n has coordinates (5, -4). if the coordinates of point k are (7, -2) then what are the coordinates of point n?

Co-ordinates of point N is (3,-6)

Step-by-step explanation:

Given point:

Endpoint K(7,-2)

Mid-point of segment KN (5,-4)

Let endpoint have co-ordinates

Using midpoint formula:

Where and are co-ordinates of the endpoint of the segment.

Plugging in values to find the midpoint of segment KN.

We know

So, we have

Solving for

Multiplying both sides by 2.

Subtracting both sides by 7.

∴

Solving for

Multiplying both sides by 2.

Adding both sides by 2.

∴

Thus co-ordinates of point N is (3,-6)

A= 4 tenth 2 hundredth 3 thousandth
b= 3 tenth 2 hundredth 6 thousandth 7 ten thousandth 8 hundred thousandth
c= 4 tenth 5 hundredth 2 thousandth 4 ten thousandth
d= 3 tenth 0 hundredth 0 thousandth 6 ten thousandth