Question

find the slope of the line that passes through (6, 3) and (8, 2). 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 $(x_1,y_1)=(6,3)$ and $(x_2,y_2)=(8,2)$. Substitute into the formula:
$m=\frac{2-3}{8-6}$

Step3: Calculate numerator and denominator

Compute differences: $2-3=-1$, $8-6=2$. So $m=\frac{-1}{2}$.

Answer:

$\frac{-1}{2}$