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

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

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

Answer

Explanation:

Step1: Recall slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.

Step2: Identify the points

Let $(x_1,y_1)=(-3,1)$ and $(x_2,y_2)=(-1,-3)$.

Step3: Substitute values into formula

$m=\frac{-3 - 1}{-1-(-3)}=\frac{-4}{-1 + 3}$.

Step4: Simplify the fraction

$m=\frac{-4}{2}=-2$.

Answer:

$-2$