Question

1. (15, 7) and (3, -2)

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 \((x_1, y_1) = (15, 7)\) and \((x_2, y_2) = (3, -2)\).

Step3: Substitute into formula

\( m = \frac{-2 - 7}{3 - 15} = \frac{-9}{-12} \).

Step4: Simplify fraction

Simplify \(\frac{-9}{-12}\) by dividing numerator and denominator by their GCD (3): \( \frac{3}{4} \).

Answer:

The slope between the points \((15, 7)\) and \((3, -2)\) is \(\frac{3}{4}\).