Answer:
![P_{m}=(6,10.5,9)](https://tex.z-dn.net/?f=P_%7Bm%7D%3D%286%2C10.5%2C9%29)
Step-by-step explanation:
The mid point can be found with the formula
![P_{m}=(\frac{x_{1}+x_{2} }{2},\frac{y_{1} +y_{2} }{2} ,\frac{z_{1}+z_{2} }{2} )](https://tex.z-dn.net/?f=P_%7Bm%7D%3D%28%5Cfrac%7Bx_%7B1%7D%2Bx_%7B2%7D%20%7D%7B2%7D%2C%5Cfrac%7By_%7B1%7D%20%2By_%7B2%7D%20%7D%7B2%7D%20%2C%5Cfrac%7Bz_%7B1%7D%2Bz_%7B2%7D%20%20%7D%7B2%7D%20%29)
The given coordinates are
and
.
Replacing coordinates in the formula, we have
![P_{m}=(\frac{5+7}{2},\frac{10+11 }{2} ,\frac{8+10}{2} )=(\frac{12}{2},\frac{21 }{2} ,\frac{18}{2} )\\P_{m}=(6,10.5,9)](https://tex.z-dn.net/?f=P_%7Bm%7D%3D%28%5Cfrac%7B5%2B7%7D%7B2%7D%2C%5Cfrac%7B10%2B11%20%7D%7B2%7D%20%2C%5Cfrac%7B8%2B10%7D%7B2%7D%20%29%3D%28%5Cfrac%7B12%7D%7B2%7D%2C%5Cfrac%7B21%20%7D%7B2%7D%20%2C%5Cfrac%7B18%7D%7B2%7D%20%29%5C%5CP_%7Bm%7D%3D%286%2C10.5%2C9%29)
Therefore, the mid point of the segment PQ is ![P_{m}=(6,10.5,9)](https://tex.z-dn.net/?f=P_%7Bm%7D%3D%286%2C10.5%2C9%29)
Answer:
top right is alternate interior and top left is corresponding
Step-by-step explanation:
X - y + 6 = 0
slope - intercept form is
y = x + 6