### Instruction: Find the mid-point of the line segment with end-points $(7,-3,2)$ and $(4,1,0).$.### Response: To find the mid-point of a line segment, I need to find the average of the x-coordinates, the y-coordinates, and the z-coordinates of the end-points.
The average of two numbers is the sum of the numbers divided by two.
So, the x-coordinate of the mid-point is the average of $7$ and $4$, which is $\frac{7+4}{2} = 5.5$.
Similarly, the y-coordinate of the mid-point is the average of $-3$ and $1$, which is $\frac{-3+1}{2} = -1$.
And the z-coordinate of the mid-point is the average of $2$ and $0$, which is $\frac{2+0}{2} = 1$.
Therefore, the mid-point of the line segment is $(5.5, -1, 1)$.