Question

find the slope of the line that passes through (8, 11) and (10, 10). 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 given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify coordinates

Here, \( x_1 = 8 \), \( y_1 = 11 \), \( x_2 = 10 \), \( y_2 = 10 \).

Step3: Substitute into formula

Substitute the values into the slope formula: \( m=\frac{10 - 11}{10 - 8} \).

Step4: Simplify numerator and denominator

Simplify the numerator: \( 10 - 11=-1 \). Simplify the denominator: \( 10 - 8 = 2 \). So \( m=\frac{-1}{2} \).

Answer:

\( -\frac{1}{2} \)