Question

what is the slope of this line? the line passes through (-6, 8) and (-4, 5). options: \\(\frac{3}{2}\\), \\(-\frac{3}{2}\\), 0, undefined

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

Let \((x_1, y_1) = (-6, 8)\) and \((x_2, y_2) = (-4, 5)\).

Step3: Substitute into formula

\( m = \frac{5 - 8}{-4 - (-6)} = \frac{-3}{2} = -\frac{3}{2} \).

Answer:

\(-\frac{3}{2}\) (corresponding to the option with \(-\frac{3}{2}\))