Answer:
There is no such k value.
Explanation:
The line y = 2 is a horizontal line that includes the point (0, 2) on the y-axis.
A line through point (5, 4) can be parallel to the line y = 2, if the line through point (5, 4) is a horizontal line. The its equation is y = 4.
Since the points (5, 4) and (k, 2) have different y-coordinates, no matter what value k has, a line through point (5, 4) and point (k, 2) cannot be a horizontal line.
Therefore, there is no value of k that will make a line through (5, 4) and (k, 2) parallel to the line y = 2.
Answer: There is no such k value.