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
[tex]m=\dfrac{d-b}{c-a}.[/tex]
Therefore, the slope of the given line is
[tex]m=\dfrac{0-6}{6-0}=\dfrac{-6}{6}=-1.[/tex]
Thus, the required slope of the line is -1.
