Question

find the slope of the line passing through the points (-3, 7) and (2, -6).

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 \((x_1, y_1)=(-3, 7)\) and \((x_2, y_2)=(2, -6)\).

Step2: Substitute values

Substitute into the formula: \( m=\frac{-6 - 7}{2 - (-3)} \).

Step3: Simplify numerator and denominator

Numerator: \(-6 - 7=-13\).
Denominator: \(2 - (-3)=2 + 3 = 5\).
So \( m = \frac{-13}{5} \).

Answer:

\(-\frac{13}{5}\)