Question

what is the slope of the line that passes through the points (-6, -6) and (-9, -5)? 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 \( (x_1, y_1) = (-6, -6) \) and \( (x_2, y_2) = (-9, -5) \).

Step3: Substitute into formula

Substitute values: \( m = \frac{-5 - (-6)}{-9 - (-6)} = \frac{-5 + 6}{-9 + 6} \).

Step4: Simplify numerator and denominator

Simplify: \( \frac{1}{-3} = -\frac{1}{3} \).

Answer:

\( -\frac{1}{3} \)