Answer :
Answer:
The mid-point between the endpoints (10,5) and (6,9) is:
- [tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]
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)
[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
Here:
[tex]\left(x_1,\:y_1\right)=\left(10,\:5\right),\:\left(x_2,\:y_2\right)=\left(6,\:9\right)[/tex]
Thus,
[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]\left(x,\:y\right)=\left(\frac{6+10}{2},\:\frac{9+5}{2}\right)[/tex]
[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]
Therefore, the mid-point between the endpoints (10,5) and (6,9) is:
- [tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]