Question

find the slope of the line that passes through (2, 18) and (9, 9). 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

Here, \( (x_1, y_1) = (2, 18) \) and \( (x_2, y_2) = (9, 9) \).

Step3: Substitute into formula

Substitute values: \( m = \frac{9 - 18}{9 - 2} \).

Step4: Simplify numerator and denominator

Calculate numerator: \( 9 - 18 = -9 \). Denominator: \( 9 - 2 = 7 \). So \( m = \frac{-9}{7} \).

Answer:

\( -\frac{9}{7} \)