Answer
Table: slope = -$\frac{2}{3}$
x y
0 2
1 $\frac{4}{3}$
2 $\frac{2}{3}$
3 0
Work Step by Step
Using the function f(x) = -$\frac{2}{3}x$ + 2 plug in a value of x to calculate corresponding values of y. To graph the function, plot the x and y values on a coordinate grid. In this case, as we can tell from the graph (as x increases by 1, y decreases by $\frac{2}{3}$) the slope is -$\frac{2}{3}$. Additionally, a = -$\frac{2}{3}$ which confirms that the slope is, in fact, -$\frac{2}{3}$.