Question

The midpoint of a segment is (4,3) and one endpoint is (10,8) Find the coordinates of the other endpoint.

Answer 1

Answer:

$(-2,-2)$.

Step-by-step explanation:

Let us assume that coordinates of other endpoint are $(x_1,y_1)$

We have been given that the midpoint of a segment is (4,3) and one endpoint is (10,8). We are asked to find the coordinates of the other endpoint.  

We will use midpoint formula to solve our given problem.

$x\text{-coordinate of midpoint}=\frac{x_1+x_2}{2}$

$y\text{-coordinate of midpoint}=\frac{y_1+y_2}{2}$

Upon using our given information, we will get:

$4=\frac{x_1+10}{2}$

$4\cdot 2=\frac{x_1+10}{2}\cdot 2$

$8=x_1+10$

$8-10=x_1+10-10$

$x_1=-2$

Similarly, we will find y-coordinate.

$3=\frac{y_1+8}{2}$

$3\cdot 2=\frac{y_1+8}{2}\cdot 2$

$6=y_1+8$

$6-8=y_1+8-8$

$y_1=-2$

Therefore, the coordinates of other endpoint would be $(-2,-2)$.

Answer 2

The answer is: (-2,-2). :)