Question

find the slope of the line that passes through (3, 7) and (10, 10). 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 given by \( m = \frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify coordinates

Let \( (x_1, y_1) = (3, 7) \) and \( (x_2, y_2) = (10, 10) \).

Step3: Substitute into formula

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

Answer:

\(\frac{3}{7}\)