Question

find the slope of the line that passes through (2, 4) and (10, 7). 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 coordinates

Let \( (x_1, y_1)=(2, 4) \) and \( (x_2, y_2)=(10, 7) \).

Step3: Substitute into formula

Substitute values: \( m=\frac{7 - 4}{10 - 2}=\frac{3}{8} \).

Answer:

\(\frac{3}{8}\)