Question

Find the midpoint of the line segment with the given endpoints. (3,10), (9,-2)

A)
B) (15, -14)
D) (-3,6)
C) (6,4)

Answer 1

The midpoint of the line segment with endpoints (3,10) and (9,-2) is calculated using the midpoint formula, resulting in the midpoint (6,4).

Step-by-step explanation:

To find the midpoint of the line segment with the given endpoints (3,10) and (9,-2), you can use the midpoint formula which is M = ((x1 + x2)/2, (y1 + y2)/2). Here, (x1, y1) = (3,10) and (x2, y2) = (9,-2).

Midpoint calculation:

• X-coordinate of the midpoint: (3 + 9)/2 = 12/2 = 6
• Y-coordinate of the midpoint: (10 + (-2))/2 = 8/2 = 4

Therefore, the midpoint M is (6,4).