Question

what is the slope of this line? (3, 1) (-3, -1) simplify your answer and write it as a proper fraction, improper fraction, or integer.

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 points

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

Step3: Substitute values

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

Step4: Simplify

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

Answer:

$\frac{1}{3}$