Question

find the slope of the line that passes through (6, 8) and (9, 9). 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 \( m=\frac{y_2 - y_1}{x_2 - x_1} \).
Here, \( x_1 = 6,y_1 = 8,x_2=9,y_2 = 9 \).

Step2: Substitute the values into the formula

Substitute the values into the slope formula: \( m=\frac{9 - 8}{9 - 6} \).

Step3: Simplify the numerator and denominator

Simplify the numerator: \( 9-8 = 1 \).
Simplify the denominator: \( 9 - 6=3 \).
So, \( m=\frac{1}{3} \).

Answer:

\(\frac{1}{3}\)