Question

what is the slope of the line that passes through the points (9, 4) and (3, 9)? write your answer in simplest form.

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify coordinates

Let \( (x_1, y_1)=(9, 4) \) and \( (x_2, y_2)=(3, 9) \).

Step3: Substitute into formula

\( m=\frac{9 - 4}{3 - 9}=\frac{5}{-6}=-\frac{5}{6} \).

Answer:

\(-\frac{5}{6}\)