Question

what is the slope of the linear relationship?
options: \\(\frac{1}{4}\\), \\(-\frac{4}{1}\\)

Explanation:

Step1: Identify two points on line

The line passes through $(0, 1)$ and $(4, 0)$.

Step2: Apply slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$, substitute points:
$m = \frac{0 - 1}{4 - 0}$

Step3: Calculate the slope

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

Answer:

$-\frac{1}{4}$
(Note: Based on the graph, this is the correct slope; the provided options appear to be incomplete, but the calculated slope is $-\frac{1}{4}$)