what is the slope of this line? (2, 4) (6, 2) simplify your answer and write it as a proper fraction…

Explanation:

Step1: Identify slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.

Step2: Assign points

Let $(x_1,y_1)=(2,4)$ and $(x_2,y_2)=(6,2)$.

Step3: Substitute values

$m=\frac{2 - 4}{6 - 2}=\frac{-2}{4}$

Step4: Simplify

$m =-\frac{1}{2}$

Answer:

$-\frac{1}{2}$