Question

which is the slope of the line that passes through the points (2,8) and (4,6)? slope = -\frac{1}{1} slope = -1 slope = \frac{1}{1} slope = 1

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

Given points \((2, 8)\) and \((4, 6)\), so \( x_1 = 2 \), \( y_1 = 8 \), \( x_2 = 4 \), \( y_2 = 6 \).

Step3: Calculate slope

Substitute into the formula: \( m=\frac{6 - 8}{4 - 2}=\frac{-2}{2}=-1 \).

Answer:

The option with "slope = -1" (assuming the bottom - right option is labeled with slope = -1, or the one corresponding to the calculation result).