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

We have two points: \((-2, 4)\) (so \( x_1 = -2, y_1 = 4 \)) and \((2, -6)\) (so \( x_2 = 2, y_2 = -6 \)).

Step3: Substitute into formula

\( m = \frac{-6 - 4}{2 - (-2)} = \frac{-10}{4} \).

Step4: Simplify the fraction

Simplify \( \frac{-10}{4} \) to \( -\frac{5}{2} \).

Answer:

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