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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

The table represents a linear function.What is the slope of the function?y08-2.04х-example-1
User Deividi Cavarzan
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1 Answer

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14 votes

Answer

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!!!

User Mkuligowski
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