Question

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

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify points

Let \( (x_1, y_1)=(-5, 2) \) and \( (x_2, y_2)=(5, 0) \).

Step3: Substitute into formula

\( m=\frac{0 - 2}{5 - (-5)}=\frac{-2}{10} \).

Step4: Simplify fraction

\( \frac{-2}{10}=-\frac{1}{5} \).

Answer:

\(-\frac{1}{5}\)