This table of values represents a linear function. Х
у
0
2
3
8
6
14
Enter an equation that represents the function defined by this table of values.
x Х

Answer

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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

Step-by-step explanation:

9

step-by-step explanation: