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

need help finding the endpoints

### 3 Answers by Expert Tutors

Tralee J. | Fun Math Teacher and UCLA graduateFun Math Teacher and UCLA graduate
5.0 5.0 (26 lesson ratings) (26)
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In your example, the midpoint is the average of two points.  Average the x coordinates.  Average the y coordinates.

Heng X. | Everything Math, Science and ChineseEverything Math, Science and Chinese
5.0 5.0 (445 lesson ratings) (445)
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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.

Roman C. | Masters of Education Graduate with Mathematics ExpertiseMasters of Education Graduate with Mathe...
4.9 4.9 (346 lesson ratings) (346)
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Recall that each coordinate in the mid point is half way between it's values at the endpoints.

In other words, x = (x1 + x2) / 2 and y = (y1 + y2) / 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 = (z1 + z2) /  2.

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