The coordinates of the midpoint of segment M N are 4 comma 1. The coordinates of point M are negative 2 comma 5. What are the coordinates of point N?

The midpoint formula is given by:

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

Where (x1, y1) and (x2, y2) are the coordinates of the two points and the midpoint is given.

Here, the midpoint is given as (4, 1) and one point M is given as (-2, 5). We can set up the following equations to solve for the coordinates of point N (x2, y2):

For the x-coordinate: 4 = (-2 + x2)/2 Multiply both sides by 2 to get rid of the denominator: 8 = -2 + x2 Add 2 to both sides to solve for x2: x2 = 8 + 2 = 10

For the y-coordinate: 1 = (5 + y2)/2 Multiply both sides by 2: 2 = 5 + y2 Subtract 5 from both sides to solve for y2: y2 = 2 - 5 = -3

So, the coordinates of point N are (10, -3).