Question

find the slope of the line that passes through (10, 4) and (8, 7). 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 \( m=\frac{y_2 - y_1}{x_2 - x_1} \).
Let \( (x_1, y_1)=(10, 4) \) and \( (x_2, y_2)=(8, 7) \).

Step2: Substitute values into formula

Substitute \( x_1 = 10 \), \( y_1 = 4 \), \( x_2 = 8 \), \( y_2 = 7 \) into the slope formula:
\( m=\frac{7 - 4}{8 - 10}=\frac{3}{-2}=-\frac{3}{2} \)

Answer:

\(-\frac{3}{2}\)