Question

find the slope of the line that goes through the following coordinates. (4, 2) and (6, -8)

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 coordinates

Let \((x_1, y_1)=(4, 2)\) and \((x_2, y_2)=(6, -8)\).

Step3: Substitute into formula

Substitute the values into the slope formula: \( m=\frac{-8 - 2}{6 - 4} \).

Step4: Simplify numerator and denominator

Simplify the numerator: \(-8 - 2=-10\). Simplify the denominator: \(6 - 4 = 2\). So \( m=\frac{-10}{2}=-5 \).

Answer:

The slope of the line is \(-5\).