Question

find the slope of the line that passes through (1, 1) and (10, 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, \( x_1 = 1,y_1 = 1,x_2 = 10,y_2 = 9 \).

Step2: Substitute the values into the formula

Substitute the values into the slope formula: \( m=\frac{9 - 1}{10 - 1} \).
Simplify the numerator and the denominator: \( 9-1 = 8 \) and \( 10 - 1=9 \). So \( m=\frac{8}{9} \).

Answer:

\(\frac{8}{9}\)