Question

find the slope of the line graphed below.

Explanation:

Step1: Identify two points on the line

Let the two - point be $(x_1,y_1)$ and $(x_2,y_2)$. Assume the points are $(- 3,-1)$ and $(3,-5)$.

Step2: Use the slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substitute $x_1=-3,y_1 = - 1,x_2 = 3,y_2=-5$ into the formula: $m=\frac{-5-(-1)}{3-(-3)}$.

Step3: Simplify the expression

First, simplify the numerator: $-5-(-1)=-5 + 1=-4$. Then simplify the denominator: $3-(-3)=3 + 3 = 6$. So $m=\frac{-4}{6}=-\frac{2}{3}$.

Answer:

$-\frac{2}{3}$