Answer:
negative one fourth
Step-by-step explanation:
let's take two intercept from the line.
x-intercept (4,0) and y-intercept (0,1).
Now,
The slope (m) of a linear relationship between two points [tex](x_1, y_1) [/tex] and [tex] (x_2, y_2)[/tex] is given by the formula:
[tex] m = \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]
Let's use the given points (0, 1) and (4, 0) to find the slope:
[tex] m = \dfrac{0 - 1}{4 - 0} [/tex]
[tex] m = \dfrac{-1}{4} [/tex]
[tex] m =- \dfrac{1}{4} [/tex]
So, the slope of the linear relationship is -1/4.
Therefore, the correct option is "negative one fourth".
