Question

Question was provided via image upload.

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

For points \( A(4, 5) \) and \( B(9, 7) \), \( x_1 = 4 \), \( y_1 = 5 \), \( x_2 = 9 \), \( y_2 = 7 \).

Step3: Substitute into formula

\( m=\frac{7 - 5}{9 - 4}=\frac{2}{5} \).

Answer:

\(\frac{2}{5}\) (corresponding to the option with \(\frac{2}{5}\))