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

Step2: Identify the two points

From the graph, the points are \((0, 1)\) (so \( x_1 = 0, y_1 = 1 \)) and \((4, 2)\) (so \( x_2 = 4, y_2 = 2 \)).

Step3: Calculate the slope

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

Answer:

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