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 points

We have two points: \((0, 0)\) (so \( x_1 = 0, y_1 = 0 \)) and \((5, -6)\) (so \( x_2 = 5, y_2 = -6 \)).

Step3: Calculate the slope

Substitute the values into the formula: \( m=\frac{-6 - 0}{5 - 0}=\frac{-6}{5} \).

Answer:

\(-\frac{6}{5}\)