Question

What is the midpoint of the segment shown below ?

Answer 1

Answer:

D. $(\frac{5}{2},\frac{-7}{2})$

Step-by-step explanation:

We have been given length of a line segment on coordinate plane. We are asked to find the coordinates of midpoint of given segment.

The midpoint (M) of a line segment with endpoints $(x_1,y_1)$ and $(x_2,y_2)$ can be found using formula:

$M(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$.

Upon substituting coordinates of our given points in above formula, we will get:

$M(\frac{1+4}{2},\frac{-1+(-6)}{2})$

$M(\frac{5}{2},\frac{-7}{2})$

Therefore, the midpoint of our given segment is $(\frac{5}{2},\frac{-7}{2})$ and option D is the correct choice.

Answer 2

(1,-1) and (4,-6)

midpoint:

x = (1 + 4)/2 = 5/2

y = (-1 - 6)/2 = -7/2

Midpoint (5/2, -7/2)

Answer

D.

(5/2, -7/2)