Question

1. find the slope of the line below.

Explanation:

Step1: Identify two points on the line

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

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 the points into the formula:
\(m=\frac{0 - (-1)}{2 - 0}=\frac{0 + 1}{2}=\frac{1}{2}\)

Answer:

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