simplify your answer and write it as a proper fraction, improper fraction, or integer

Explanation:

Step1: Recall slope formula

The slope ( m ) between two points ((x_1, y_1)) and ((x_2, y_2)) is ( m=\frac{y_2 - y_1}{x_2 - x_1} ).

Step2: Identify the points

Given points are ((0, 1)) (so ( x_1 = 0, y_1 = 1 )) and ((3, -1)) (so ( x_2 = 3, y_2 = -1 )).

Step3: Substitute into formula

Substitute values into the slope formula: ( m=\frac{-1 - 1}{3 - 0}=\frac{-2}{3} ).

Answer:

(-\frac{2}{3})