Question

find the slope of the line passing through the points (-2, 8) and (-9, 5).

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \( m=\frac{y_2 - y_1}{x_2 - x_1} \).
Let \((x_1, y_1)=(-2, 8)\) and \((x_2, y_2)=(-9, 5)\).

Step2: Substitute values

Substitute into the formula: \( m=\frac{5 - 8}{-9 - (-2)} \).

Step3: Simplify numerator and denominator

Numerator: \( 5 - 8=-3 \).
Denominator: \( -9 - (-2)=-9 + 2=-7 \).
So \( m=\frac{-3}{-7}=\frac{3}{7} \).

Answer:

\(\frac{3}{7}\)