Question

.What is the midpoint of a segment with endpoints (k, 6m) and (5k, −2m)?

Answer 1

`\bold{ANSWER:}`
(3k, 2m)


`\bold{SOLUTION:}`

To find the midpoint of a segment with endpoints (k, 6m) and (5k, -2m), we need to average the x- coordinates and the y-coordinates of the endpoints separately.

The x-coordinate of the midpoint is found by averaging the x-coordinates of the endpoints: x-coordinate of midpoint = (k + 5k) / 2 = 6k / 2 = 3k

The y-coordinate of the midpoint is found by averaging the y-coordinates of the endpoints: y-coordinate of midpoint = (6m + (−2m)) / 2 = 4m / 2 = 2m

Therefore, the midpoint of the segment is (3k, 2m).