Question

16 fill in the blank 1 point
what is the slope of the graph? enter a fraction answer.

Explanation:

Step1: Identify two points on the line

From the graph, we can see that the line passes through \((0, 2)\) and \((3, -1)\). Let's denote \((x_1, y_1) = (0, 2)\) and \((x_2, y_2) = (3, -1)\).

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:
\(m=\frac{-1 - 2}{3 - 0}=\frac{-3}{3}=- \frac{1}{2}\)

Answer:

\(-\frac{1}{2}\)