Question

what is the slope of the line that passes through the points (-1, 6) and (14, 3)? 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 \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify coordinates

Let \( (x_1, y_1)=(-1, 6) \) and \( (x_2, y_2)=(14, 3) \).

Step3: Substitute into formula

Substitute values: \( m=\frac{3 - 6}{14 - (-1)}=\frac{-3}{15} \).

Step4: Simplify the fraction

Simplify \( \frac{-3}{15} \) to \( -\frac{1}{5} \).

Answer:

\(-\frac{1}{5}\)