Question

find the slope of the line that passes through (3, 11) and (10, 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 \( (x_1, y_1)=(3, 11) \) and \( (x_2, y_2)=(10, 10) \).

Step3: Substitute into formula

Substitute values: \( m=\frac{10 - 11}{10 - 3} \).

Step4: Simplify numerator and denominator

Calculate numerator: \( 10 - 11=-1 \).
Calculate denominator: \( 10 - 3 = 7 \).
So \( m =-\frac{1}{7} \).

Answer:

\(-\frac{1}{7}\)