Question

find the slope of the line that passes through (10, 7) and (4, 14). 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 \( (x_1, y_1)=(10, 7) \) and \( (x_2, y_2)=(4, 14) \).

Step3: Substitute into formula

\( m=\frac{14 - 7}{4 - 10}=\frac{7}{-6}=-\frac{7}{6} \).

Answer:

\(-\frac{7}{6}\)