The image provides the following information:

Point $B$ is the midpoint of points $A(k, 3k)$ and $C(5, 8)$.

To find the coordinates of point $B$, we use the midpoint formula: $\text{Midpoint } B = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$ Here, the coordinates of $A$ are $(k, 3k)$, and the coordinates of $C$ are $(5, 8)$.

1. For the x-coordinate of the midpoint: $B_x = \frac{k + 5}{2}$
2. For the y-coordinate of the midpoint: $B_y = \frac{3k + 8}{2}$

If any additional conditions or information about point $B$'s coordinates are provided, we can use that to solve for $k$. Otherwise, this expresses the general coordinates of point $B$.

Would you like to explore further steps, or do you have any details on $B$? Let me know if you'd like additional details or have questions!

Here are 5 related questions:

1. How do we solve for $k$ if the coordinates of point $B$ are given?
2. Can you find the distance between points $A$ and $C$?
3. How would the result change if point $C$ had different coordinates?
4. What would happen if the value of $k$ was negative?
5. How is the midpoint formula derived from the concept of averages?

Tip: Always ensure to substitute all known values into a formula