Question

what is the slope of this line? simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Identify two points on the line

From the graph, we can see that the line passes through \((0, -5)\) and \((6, -1)\). Let \((x_1, y_1) = (0, -5)\) and \((x_2, y_2) = (6, -1)\).

Step2: Use the slope formula

The slope \(m\) of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by the formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\).

Substitute the values of \(x_1, y_1, x_2, y_2\) into the formula:
\(m=\frac{-1 - (-5)}{6 - 0}=\frac{-1 + 5}{6}=\frac{4}{6}=\frac{2}{3}\)

Answer:

\(\frac{2}{3}\)