Question

The endpoints of a line segment are at the coordinates (–6, 3, 4) and (4, –1, 2). What is the midpoint of the segment?


a
(–1, 1, 3)

b
(–2, 2, 6)

c
(–10, –2, 2)

d
(–5, –1, 1)

Answer 1

Answer:

$( - 1,1,3 )$

Step-by-step explanation:

Use the midpoint formula:

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}, \frac{z_1+z_2}{2} )$

We want to find the midpoint of the line

that has endpoints.

$(\frac{ - 6+4}{2},\frac{3+ - 1}{2}, \frac{4+2}{2} )$

We simplify to get;

$(\frac{ - 2}{2},\frac{2}{2}, \frac{6}{2} )$

This finally gives:

$( - 1,1,3 )$

The correct answer is A.