Answer: $\dfrac{2}{7}$

Explanation:1. Identify the given points the line passes through: The graph of $y=f(x)$ passes through $(x\_1, y\_1) = (0, 5)$ and $(x\_2, y\_2) = (7, 7)$.

2. Calculate the slope: The slope ($m$) of a line passing through two points is given by the formula: $m = \dfrac{y\_2 - y\_1}{x\_2 - x\_1}$ Substitute the coordinates of the given points: $m = \dfrac{7 - 5}{7 - 0}$ $m = \dfrac{2}{7}$

3. Conclusion: The slope of $y=f(x)$ is $\dfrac{2}{7}$.

Note that 2/7, .2857, 0.285, and 0.286 are examples of ways to enter a correct answer.