Question

what is the slope of this line?

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 $(x_2,y_2)=(3,1)$.

Step3: Substitute values

$m=\frac{1-(-1)}{3 - (-3)}=\frac{1 + 1}{3+3}=\frac{2}{6}$.

Step4: Simplify the fraction

$\frac{2}{6}=\frac{1}{3}$.

Answer:

$\frac{1}{3}$