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 given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify the two points

From the graph, we have two points: \((0, -5)\) (where \( x_1 = 0, y_1=-5 \)) and \((3, -3)\) (where \( x_2 = 3, y_2=-3 \)).

Step3: Substitute into the formula

Substitute \( x_1 = 0, y_1=-5, x_2 = 3, y_2=-3 \) into the slope formula:
\( m=\frac{-3 - (-5)}{3 - 0}=\frac{-3 + 5}{3}=\frac{2}{3} \).

Answer:

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