Question

1. what is the slope of the line that passes through (2, 3) and (-1, -12)?

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 coordinates

Let \((x_1, y_1)=(2, 3)\) and \((x_2, y_2)=(-1, -12)\).

Step3: Substitute into formula

Substitute values: \( m=\frac{-12 - 3}{-1 - 2}=\frac{-15}{-3} \).

Step4: Simplify the fraction

Simplify \(\frac{-15}{-3}=5\).

Answer:

5