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sladkih [1.3K]
3 years ago
12

What is the midpoint of the segment shown below ?

Mathematics
2 answers:
nadezda [96]3 years ago
6 0

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.

Ivanshal [37]3 years ago
5 0

(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)

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