Line mn has endpoints at M(2,5) and N(-4,3) . in what quadrent is the mid point of line MN a) Quadrant I b) Quadrant II c) Quadrant III d) Quadrant IV

Question

asked Mar 1, 2024 200k views

1 Answer

Michelson · Answer 1 · 2024-03-06T23:37:27+0000

The midpoint of line MN with endpoints at (2, 5) and (-4, 3) is located in Quadrant II.

To find the midpoint of line MN, we can use the midpoint formula:

The formula for finding the midpoint of a line with endpoints (x1, y1) and (x2, y2) is:

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Applying this formula to the given endpoints (2, 5) and (-4, 3), we can calculate the midpoint as follows:

Midpoint = ((2 + (-4))/2, (5 + 3)/2)

Midpoint = ((-2)/2, 8/2)

Midpoint = (-1, 4)

The coordinates of the midpoint of line MN are (-1, 4).

Since the x-coordinate is negative and the y-coordinate is positive, the midpoint is located in Quadrant II.