Question

3 find the slope of the line that passes through the two points below: (-6, 1) and (4, -4) m = 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 coordinates

Let \((x_1, y_1)=(-6, 1)\) and \((x_2, y_2)=(4, -4)\).

Step3: Substitute into formula

Substitute values: \( m=\frac{-4 - 1}{4 - (-6)}=\frac{-5}{10} \).

Step4: Simplify the fraction

Simplify \(\frac{-5}{10}=-\frac{1}{2}\).

Answer:

\(-\frac{1}{2}\)