Question

what is the slope of this line? simplify your answer completely. slope = - \frac{?}{?} slope: \frac{rise}{run}

Explanation:

Step1: Identify two points on the line

Let's take the points $(-1, 3)$ and $(1, - 1)$.

Step2: Use the slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1=-1,y_1 = 3,x_2 = 1,y_2=-1$. Then $m=\frac{-1 - 3}{1-(-1)}$.

Step3: Simplify the expression

First, calculate the numerator: $-1 - 3=-4$. Then calculate the denominator: $1-(-1)=1 + 1=2$. So $m=\frac{-4}{2}=-2$.

Answer:

$-2$