need help finding the endpoints

## find the coordinates of the midpoint of the segment wuth the given pair of endpoints J(6,6) and K(2,-4)

# 3 Answers

In your example, the midpoint is the average of two points. Average the x coordinates. Average the y coordinates.

Alec,

Roman has found the mid point for you.

From what you said, you still need help finding the endpoints. The end points are J and K. J is (6,6), you find a line parallel to the y axis passing 6 on the x axis; and a second line parallel to the x axis passing 6 on the y axis. These two lines are perpendicular to each other, they intercept at the point J(6,6). Similarly, for K(2,-4), the first line parallel to the y axis passing 2 on the x axis; and a second line parallel to the x axis passing -4 on the y axis (note that this line is on the other side of the x axis because the number is negative). The point these two lines intercept is K(2,-4).

Hope it helps.

Recall that each coordinate in the mid point is half way between it's values at the endpoints.

In other words, x = (x_{1} + x_{2}) / 2 and y = (y_{1} + y_{2}) / 2.

In general, this is true in any number of dimensions, so for example, in 3 dimensions, you would have the above two equations and also z = (z_{1} + z_{2}) / 2.

In your case, it's 2D and you get M(4,1) because (6+2)/2 = 4 and (6+(-4))/2 = 1