Question

What is the midpoint of the segment below?

(3,5)

(-6,-6)

A. (-1.5, -0.5)

B. (0,0)

C. (1.5, 0.5)

D. (0.5, -0.5)

Answer 1

A. (-1.5, -0.5)

Explanation:

`(3,5), (-6,-6)\\Midpoint = [(x_1+x_2)/(2),(y_1+y_2)/(2) ]\\x_1 = 3\\y_1=5\\x_2 =-6\\y_2 = -6\\\\Midpoint = [(3+(-6))/(2) , (5+(-6))/(2) ]\\Midpoint = [ (3-6)/(2) , (5-6)/(2) ]\\\\Midpoint = [-(3)/(2) ,-1/2]\\\\Midpoint = [ -1.5 , -0.5]`

Answer 2

The answer is option A.

( - 1.5 , - 0.5)

Explanation:

Midpoint of a line is given by

`((x1 + x2)/(2) , \: (y1 + y2)/(2) )`

Where ( x1 , y1 ) and ( x2 , y2) are the points

Midpoint of (3 , 5) and ( - 6 , - 6) is

`( (3 - 6)/(2) , \: (5 - 6)/(2) )= ( - (3)/(2) , \: - (1)/(2) )`

We have the final answer as

( - 1.5 , - 0.5)

Hope this helps you.