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 two points

We have points \((-5, 3)\) and \((0, 0)\). Let \((x_1, y_1)=(-5, 3)\) and \((x_2, y_2)=(0, 0)\).

Step3: Substitute into formula

Substitute into \( m=\frac{y_2 - y_1}{x_2 - x_1} \): \( m=\frac{0 - 3}{0 - (-5)}=\frac{-3}{5} \).

Answer:

\(-\frac{3}{5}\)