## Example Questions

### Example Question #1 : Midpoint Formula

There is a line defined by two end-points, and .  The midpoint between these two points is .  What is the value of the point ?      Explanation:

Recall that to find the midpoint of two points and , you use the equation: .

(It is just like finding the average of the two points, really.)

So, for our equation, we know the following: You merely need to solve each coordinate for its respective value.   Then, for the y-coordinate:   Therefore, our other point is: ### Example Question #1451 : Gre Quantitative Reasoning

There is a line defined by two end-points, and .  The midpoint between these two points is .  What is the value of the point ?      Explanation:

Recall that to find the midpoint of two points and , you use the equation: .

(It is just like finding the average of the two points, really.)

So, for our equation, we know the following: You merely need to solve each coordinate for its respective value.   Then, for the y-coordinate:   Therefore, our other point is: ### Example Question #1 : How To Find The Endpoints Of A Line Segment

What is the other endpoint of a line segment with one point that is and a midpoint of ?      Explanation:

Recall that the midpoint formula is like finding the average of the and values for two points.  For two points and , it is: For our points, we are looking for .  We know: We can solve for each of these coordinates separately:

X-Coordinate   Y-Coordinate:   Therefore, our point is ### Example Question #1 : How To Find The Endpoints Of A Line Segment

What is the other endpoint of a line segment with one point that is and a midpoint of ?      Explanation:

What is the other endpoint of a line segment with one point that is and a midpoint of ?

Recall that the midpoint formula is like finding the average of the and values for two points.  For two points and , it is: For our points, we are looking for .  We know: We can solve for each of these coordinates separately:

X-Coordinate   Y-Coordinate:   Therefore, our point is ### All GRE Math Resources 