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 given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify the two points

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

Step3: Substitute into the formula

Substitute the values into the slope formula: \( m=\frac{0 - 2}{0 - (-5)}=\frac{-2}{5} \).

Answer:

\(-\frac{2}{5}\)