Question

what is the slope of this line? (graph with points (0,1) and (4,2))

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify two points

From the graph, we have points \((0, 1)\) and \((4, 2)\). Let \((x_1, y_1)=(0, 1)\) and \((x_2, y_2)=(4, 2)\).

Step3: Substitute into formula

Substitute into the slope formula: \( m=\frac{2 - 1}{4 - 0}=\frac{1}{4} \).

Answer:

\(\frac{1}{4}\)