Question

find the slope of the line that passes through (90, 77) and (91, 10). simplify your answer and write it as a proper fraction, improper fraction, or integer.

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 \( (x_1, y_1) = (90, 77) \) and \( (x_2, y_2) = (91, 10) \).

Step3: Substitute into formula

\( m = \frac{10 - 77}{91 - 90} = \frac{-67}{1} = -67 \).

Answer:

\(-67\)