Question

find the slope of the line that passes through (2, 14) and (9, 10). 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 values to variables

Let $(x_1,y_1)=(2,14)$ and $(x_2,y_2)=(9,10)$. Substitute into the formula:
$m=\frac{10-14}{9-2}$

Step3: Calculate numerator and denominator

$m=\frac{-4}{7}$

Answer:

$\frac{-4}{7}$