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 two points

We have points \((0, -7)\) and \((5, -1)\). Let \((x_1, y_1) = (0, -7)\) and \((x_2, y_2) = (5, -1)\).

Step3: Substitute into formula

Substitute values: \( m = \frac{-1 - (-7)}{5 - 0} = \frac{-1 + 7}{5} = \frac{6}{5} \).

Answer:

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