Question

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

Answer 1

Answer:

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

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

Step-by-step 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)

$\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)$

Here:

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

Thus,

$\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)$

$\left(x,\:y\right)=\left(\frac{6+10}{2},\:\frac{9+5}{2}\right)$

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

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

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