Question

what is the slope of the line that passes through the points (-1, -3) and (-19, -18)? 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 \( (x_1, y_1)=(-1, -3) \) and \( (x_2, y_2)=(-19, -18) \).

Step3: Substitute into formula

Substitute values: \( m=\frac{-18 - (-3)}{-19 - (-1)}=\frac{-18 + 3}{-19 + 1}=\frac{-15}{-18} \).

Step4: Simplify fraction

Simplify \( \frac{-15}{-18}=\frac{15}{18}=\frac{5}{6} \) (divide numerator and denominator by 3).

Answer:

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