Question

find the slope of the line that passes through (2, 1) and (9, 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 \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify coordinates

Here, \( x_1 = 2 \), \( y_1 = 1 \), \( x_2 = 9 \), \( y_2 = 10 \).

Step3: Substitute into formula

\( m=\frac{10 - 1}{9 - 2}=\frac{9}{7} \).

Answer:

\(\frac{9}{7}\)