Question

find the slope of the line that passes through (10, 8) and (2, 11). simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Recall 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, \((x_1,y_1)=(10, 8)\) and \((x_2,y_2)=(2, 11)\).

Step2: Substitute values into formula

Substitute \( x_1 = 10,y_1 = 8,x_2=2,y_2 = 11 \) into the formula: \( m=\frac{11 - 8}{2 - 10}=\frac{3}{-8}=-\frac{3}{8} \)

Answer:

\(-\frac{3}{8}\)