Question

The table represents a linear function.What is the slope of the function?y08-2.04х-4-2-112-10-14-22-26O 2O 5

Answer 1

Option B is correct.

The slope of this function = -4

Step-by-step explanation

For a linear function, the slope of the line can be obtained when the coordinates of two points on the line or the values of the linear function (y) at different values of x are known. If the two points are described as (x₁, y₁) and (x₂, y₂), the slope is given as

`Slope=m=\frac{Change\text{ in y}}{Change\text{ in x}}=(y_2-y_1)/(x_2-x_1)`

Using the two extreme points, (x₁, y₁) and (x₂, y₂) are (-4, -2) and (2, -26).

x₁ = -4

y₁ = -2

x₂ = 2

y₂ = -26

`\text{Slope = }(-26-(-2))/(2-(-4))=(-26+2)/(2+4)=(-24)/(6)=-4`

Hope this Helps!!!