Question

find the slope of the line that passes through (2, 14) 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 $m=\frac{y_2-y_1}{x_2-x_1}$

Step2: Assign point values

Let $(x_1,y_1)=(2,14)$ and $(x_2,y_2)=(8,7)$

Step3: Substitute into formula

$m=\frac{7-14}{8-2}$

Step4: Calculate numerator and denominator

$m=\frac{-7}{6}$

Answer:

$\frac{-7}{6}$