Question

find the slope of the line through each pa\

1. (-9, -16), (5, -17)

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 \((x_1, y_1) = (-9, -16)\) and \((x_2, y_2) = (5, -17)\).

Step2: Substitute values into formula

Substitute \( x_1 = -9 \), \( y_1 = -16 \), \( x_2 = 5 \), \( y_2 = -17 \) into the slope formula:
\( m = \frac{-17 - (-16)}{5 - (-9)} \)

Step3: Simplify numerator and denominator

Simplify numerator: \( -17 - (-16) = -17 + 16 = -1 \)
Simplify denominator: \( 5 - (-9) = 5 + 9 = 14 \)
So, \( m = \frac{-1}{14} \)

Answer:

\( \frac{-1}{14} \)