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

Answer:

The answer is option A.

( - 1.5 , - 0.5)

Step-by-step explanation:

Midpoint of a line is given by

$(\frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )$

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

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

$( \frac{3 - 6}{2} , \: \frac{5 - 6}{2} )= ( - \frac{3}{2} , \: - \frac{1}{2} )$

We have the final answer as

( - 1.5 , - 0.5)

Hope this helps you.

Answer 2

Answer:

A. (-1.5, -0.5)

Step-by-step explanation:

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