Chapter 12.8, Problem 21E

To determine

To find:An algebraic expression for the coordinates of each end point of a line segment whose midpoint is origin.

Answer to Problem 21E

An algebraic expression is $A\left(x,y\right)$ and $B=\left(-x,-y\right)$ .

Explanation of Solution

Given information:

The midpoint is for the coordinates of each end point of a line segment.

An algebraic expression for the coordinates of each endpoint of a line segment whose midpoints is the origin is must be opposite of one another.

If we consider,

  $A\left(x,y\right)$ be the coordinate of one end point then the other coordinate will be $B=\left(-x,-y\right)$ .

Therefore, an algebraic expression is $A\left(x,y\right)$ and $B=\left(-x,-y\right)$ .