Question

Which table represents a linear function? A. x 1 2 3 4 y 3 6 12 24 B. x 1 2 3 4 y 2 5 9 14 C. x 1 2 3 4 y -3 -5 -7 -9 D. x 1 2 3 4 y -2 -4 -2 0
help please (:

Answer 1

Table C.

Step-by-step explanation:

Test the values of x with corresponding values of y by plotting the values as coordinates on a graph tool to determine the linear function.

You notice that in option C, the values produce a linear graph with a negative slope.

Check the slope of the linear graph using the formula ;

m=rise/run

m=change in y values/change in x values

m=Δy/Δx

Taking points (1,-3), and (2,-5)

Δy=-5--3=-5+3=-2

Δx=2-1=1

m=-2/1 =-2

The equation of the linear graph will thus be;

(1,-3) , (x,y)

m=Δy/Δx

-2 = y--3/x-1

-2(x-1) =y+3

-2x+2=y+3

-2x=y+3-2

-2x=y+1

⇒ y=-2x-1

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Linear functions : brainly.com/question/9994201

Keywords : Table, linear function

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