Question

find the slope of the line that passes through (6, 2) and (9, 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 \( (x_1, y_1)=(6, 2) \) and \( (x_2, y_2)=(9, 7) \).

Step3: Substitute into formula

Substitute values: \( m=\frac{7 - 2}{9 - 6} \).

Step4: Simplify numerator and denominator

Simplify: \( \frac{5}{3} \).

Answer:

\(\frac{5}{3}\)