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

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 given points

Use $(x_1,y_1)=(0,1)$ and $(x_2,y_2)=(3,-1)$

Step3: Substitute values into formula

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

Step4: Calculate the slope

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

Answer:

$\frac{-2}{3}$