Answer:
There are two possible options:
or
.
Step-by-step explanation:
There are two possible options depending on what the point of origin is. Vectorially speaking, we can determine the coordinates of the point that partitions the segment is described below:
(1)
Where:
- Point of origin.
- Point of destination.
- Partition factor.
Option 1:
,
, 
![P(x,y) = (-1, - 8) + \frac{1}{3}\cdot [(5,-2)-(-1,-8)]](https://tex.z-dn.net/?f=P%28x%2Cy%29%20%3D%20%28-1%2C%20-%208%29%20%2B%20%5Cfrac%7B1%7D%7B3%7D%5Ccdot%20%5B%285%2C-2%29-%28-1%2C-8%29%5D)



Option 2:
,
, 
![P(x,y) = (5,-2) + \frac{1}{3}\cdot [(-1,-8)-(5,-2)]](https://tex.z-dn.net/?f=P%28x%2Cy%29%20%3D%20%285%2C-2%29%20%2B%20%5Cfrac%7B1%7D%7B3%7D%5Ccdot%20%5B%28-1%2C-8%29-%285%2C-2%29%5D)



There are two possible options:
or
.
33/3030x4/3030=132/9180900
9180900-132=9180768
9,180,768 selections will contain no defective calculators. Hope this helps.