Question

what is the slope of this line? (0, 2) (5, -4)

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 the points

We have two points: \((0, 2)\) (so \( x_1 = 0, y_1 = 2 \)) and \((5, - 4)\) (so \( x_2 = 5, y_2 = - 4 \)).

Step3: Substitute into the formula

\( m=\frac{-4 - 2}{5 - 0}=\frac{-6}{5}=-\frac{6}{5} \).

Answer:

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