Question

The midpoint of KL is M (-8,1). One endpoint is K (-6,5) find the coordinates of the other endpoint L

Answer 1

Answer:

Midpoint (x , y) of two points is

( x1 + y1/2 , x2 + y2/2)

Midpoint of KL is M ( -8 , 1)

Let the coordinates of L be ( a , b)

From the above definition

Midpoint between K(-6 , 5) and

L ( a ,b) is

(-8 , 1) = ( -6+a/2 , 5+b/2)

Comparing first point with - 8

- 8 = -6 + a /2

Multiply through by 2

We get

-16 = - 6 + a

a = -16+6

a = - 10

Comparing the second point with 1

1 = 5+b/2

Multiply through by 2

2 = 5 + b

b = 2 - 5

b = -3

Therefore a = -10 and b = - 3

Hence the coordinates of

L is ( -10 , - 3)

Hope this helps