Question

what is the slope of this line? (graph with points (0, -7) and (5, -1))

Explanation:

Step1: Identify two points

We have two points on the line: \((0, -7)\) and \((5, -1)\).

Step2: Use slope formula

The slope \(m\) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \(m=\frac{y_2 - y_1}{x_2 - x_1}\).
Substitute \(x_1 = 0\), \(y_1=-7\), \(x_2 = 5\), \(y_2=-1\) into the formula:
\(m=\frac{-1-(-7)}{5 - 0}=\frac{-1 + 7}{5}=\frac{6}{5}\)

Answer:

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