Answer: The required slope of the line is -1.
Step-by-step explanation: We are given to find the slope of a line that goes through the points (0, 6) and (6, 0).
We know that
the slope of a straight line that passes through the points (a, b) and (c, d) is given by

Therefore, the slope of the given line is

Thus, the required slope of the line is -1.