Question

The table represents a linear function. What is the slope of the function?
Answer choices-A.-3, B.-2, C.3, D.4

X Y
___ ___
-2 -2
-1 1
0 4
1 7
2 10

Answer 1

Answer:

C. 3

Step-by-step explanation:

Answer 2

The Slope of given linear function is 3 which is correct option(C).

What is linear function?

The linear  function is defined as mathematics expression defines a relationship between one variable and another variable.

What is slope of linear function?

Slope of linear function is defined as the angle of line. It is denoted by m.

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a  linear function —Point 1 and Point 2. Point 1 has coordinates (x₁, y₁) and Point 2 has coordinates (x₂, y₂)

The given data represents a linear function as:

X : -2 , -1, 0, 1, 2

Y : -2, 1, 4, 7, 10

Points of linear  function is (2, 8) and (5, 7)

Let

x₁ = 1, y₁ = 7

x₂ = 2, y₂ = 10

∵ Slope m = (y₂ - y₁)/(x₂ -x₁  )

Substitute values in formula,

m = (10 - 7)/(2 - 1)

m = 3

Hence, the Slope of given linear function is 3.

Learn more about linear function here:

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