Question

what is the slope of this line? 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 points

We have points \((0, 5)\) (so \( x_1 = 0, y_1 = 5 \)) and \((5, 1)\) (so \( x_2 = 5, y_2 = 1 \)).

Step3: Substitute into formula

Substitute values into the slope formula: \( m = \frac{1 - 5}{5 - 0} \).

Step4: Simplify numerator and denominator

Simplify numerator: \( 1 - 5 = -4 \). Simplify denominator: \( 5 - 0 = 5 \). So \( m = \frac{-4}{5} = -\frac{4}{5} \).

Answer:

\(-\frac{4}{5}\)