The two points are $(-2,4)$ and $(6,4)$. Because the $y$-coordinates are the same, the bus stops lie on a horizontal line. The distance between them is the difference in their $x$-coordinates: $6-(-2)=8$. So the distance between the bus stops is $8$ map units.

For a segment with endpoints $(2,-4)$ and $(x,6)$, the midpoint's $x$-coordinate is the average of the endpoint $x$-coordinates: $\frac{2+x}{2}$. Since the $x$-coordinate of $M$ is $5$, set up the equation $\frac{2+x}{2}=5$. Multiply both sides by $2$ to get $2+x=10$. Then subtract $2$ from both sides: $x=8$. So the correct answer is $8$.

To find the distance between two points $(x_1,y_1)$ and $(x_2,y_2)$, use the distance formula:

For the points $(2,-1)$ and $(8,5)$, substitute $x_1=2$, $y_1=-1$, $x_2=8$, and $y_2=5$:

This matches choice A.

To find the midpoint of a segment, average the $x$-coordinates and average the $y$-coordinates. For endpoints $(4,-1)$ and $(10,7)$, the midpoint is

So the correct answer is $(7,3)$.

For a midpoint, the $x$-coordinate is the average of the two endpoint $x$-coordinates. So,

Multiply both sides by $2$:

Then subtract $2$:

Therefore, the correct answer is $12$.