Question

2)
slope =
graph of a line on a coordinate grid with points (0, -3) and (2, 1) and (4, 5)

Explanation:

Step1: Identify two points on the line

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

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 the points into the formula:
\(m=\frac{1 - (-3)}{2 - 0}=\frac{1 + 3}{2}=\frac{4}{2}=2\)

Answer:

\(2\)