Question

A line segment has an endpoint at (-6,6), and its midpoint is at (5,5). What is the ordered pair for the other endpoint of the line segment

Answer 1

Answer:

The right endpoint coordinates are (16, 4).

Step-by-step explanation:

Going from (-6, 6) to (5, 5), we see x increasing by 11 and y decreasing by 1.  We want to find the coordinates of the other endpoint, which lies to the right of the given midpoint.  The increase in x from the midpoint to the right end point is 11 and the decrease in y is 1.

To find the coordinates of the right end point, start with the midpoint and increase its x-coordinate by 11 and decrease its y-coordinate by 1.  We get:

(5 + 11, 5 - 1), or (16, 4).

The right endpoint coordinates are (16, 4).