Question

Find the midpoint of the segment with the following end points (10,5) and (6,9)

Answer 1

The mid-point between the endpoints (10,5) and (6,9) is:

• 
  `\left(x,\:y\right)=\left(8,\:7\right)`

Explanation:

Let (x, y) be the mid-point

Given the points

• (10,5)

• (6,9)

Using the formula to find the mid-point between the endpoints (10,5) and (6,9)

`\left(x,\:y\right)=\left((x_2+x_1)/(2),\:\:(y_2+y_1)/(2)\right)`

Here:

`\left(x_1,\:y_1\right)=\left(10,\:5\right),\:\left(x_2,\:y_2\right)=\left(6,\:9\right)`

Thus,

`\left(x,\:y\right)=\left((x_2+x_1)/(2),\:\:(y_2+y_1)/(2)\right)`

`\left(x,\:y\right)=\left((6+10)/(2),\:(9+5)/(2)\right)`

`\left(x,\:y\right)=\left(8,\:7\right)`

Therefore, the mid-point between the endpoints (10,5) and (6,9) is:

• 
  `\left(x,\:y\right)=\left(8,\:7\right)`