need help finding the endpoints

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

need help finding the endpoints

Tutors, please sign in to answer this question.

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

Dana R.

English/Math SAT PrepTutor with PhD

Lynbrook, NY

4.8
(85 ratings)

Mary F.

Highly Qualified Math Teacher, Kaplan Trained

Bronxville, NY

5.0
(55 ratings)

Robert E.

Experienced Physics and Math Tutor

Jamaica, NY

4.9
(494 ratings)