Question

find the slope of the line that passes through (3, 6) and (9, 7). simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Recall the slope formula

The slope \( m \) of a line passing through 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 the coordinates

Here, \( (x_1, y_1)=(3, 6) \) and \( (x_2, y_2)=(9, 7) \).

Step3: Substitute into the formula

Substitute the values into the slope formula: \( m=\frac{7 - 6}{9 - 3} \).

Step4: Simplify the numerator and denominator

Simplify the numerator: \( 7 - 6 = 1 \).
Simplify the denominator: \( 9 - 3 = 6 \).
So, the slope \( m=\frac{1}{6} \).

Answer:

\(\frac{1}{6}\)