Question

what is the slope of this line? simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Recall slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$

Step2: Identify given points

Points: $(x_1,y_1)=(0,1)$, $(x_2,y_2)=(3,-1)$

Step3: Substitute into formula

$m = \frac{-1 - 1}{3 - 0} = \frac{-2}{3}$

Answer:

$\frac{-2}{3}$