Question

find the slope of the line that passes through (4, 8) and (8, 5). 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

Let \( (x_1, y_1)=(4, 8) \) and \( (x_2, y_2)=(8, 5) \).

Step3: Substitute into formula

Substitute the values into the slope formula: \( m=\frac{5 - 8}{8 - 4} \).

Step4: Simplify numerator and denominator

Simplify the numerator: \( 5 - 8=-3 \). Simplify the denominator: \( 8 - 4 = 4 \). So \( m=\frac{-3}{4}=-\frac{3}{4} \).

Answer:

\(-\frac{3}{4}\)