what is the slope of the line that passes through the points (4, 8) and (8, 6)? write your answer in…

what is the slope of the line that passes through the points (4, 8) and (8, 6)? write your answer in simplest form.

what is the slope of the line that passes through the points (4, 8) and (8, 6)? write your answer in simplest form.

Answer

Explanation:

Step1: Recall 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. Here, $(x_1,y_1)=(4,8)$ and $(x_2,y_2)=(8,6)$.

Step2: Substitute values

$m=\frac{6 - 8}{8 - 4}$.

Step3: Simplify the expression

$m=\frac{-2}{4}=-\frac{1}{2}$.

Answer:

$-\frac{1}{2}$