Question

find the slope of the line that passes through (6, 1) and (3, 9). 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 $(x_1,y_1)=(6,1)$ and $(x_2,y_2)=(3,9)$. Substitute into the formula:
$m=\frac{9-1}{3-6}$

Step3: Calculate numerator and denominator

$m=\frac{8}{-3}$

Step4: Simplify the fraction

$m=-\frac{8}{3}$

Answer:

$-\frac{8}{3}$