Question

find the slope of the line that passes through (8, 9) and (1, 1). 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

Let \( (x_1, y_1)=(8, 9) \) and \( (x_2, y_2)=(1, 1) \).

Step3: Substitute into the formula

Substitute the values into the slope formula: \( m=\frac{1 - 9}{1 - 8} \).

Step4: Simplify the numerator and denominator

Simplify the numerator: \( 1 - 9=-8 \).
Simplify the denominator: \( 1 - 8=-7 \).
So, \( m = \frac{-8}{-7}=\frac{8}{7} \).

Answer:

\(\frac{8}{7}\)