Question

what is the slope of the line that passes through the points (6, 0) and (21, -20)? 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 \( (x_1, y_1)=(6, 0) \) and \( (x_2, y_2)=(21, -20) \).

Step3: Substitute into formula

Substitute values: \( m=\frac{-20 - 0}{21 - 6}=\frac{-20}{15} \).

Step4: Simplify fraction

Simplify \( \frac{-20}{15} \) by dividing numerator and denominator by 5: \( \frac{-4}{3} \).

Answer:

\( -\frac{4}{3} \)