Which equation describes the relation indicated by the table?

X = - 2,0,1 y=-6,2,6

a. y=4x+2

b. y = 2x + 4

c. y = 2x-2

d. y = x-4

The answer would be: a. y=4x+2

In this question, the table is made from an equation that follows y=ax+b. To find the equation, it would be easier to use x=0 so you can exclude the a value and find the value of b. From the description, you can find that x=0 will result in y=2. Then if you put it into the equation:

y=ax+b

2=a (0) + b

b=2

Now we need to find the value of a. You can do this by inserting any value of x and y beside x=0. Let's try to use x=-2 and y=-6

y=ax+b

-6 = a (-2) + 2

-6 = - 2a+2

-2a = - 6-2

-2a=-8

a = - 8/-2=4

The equation would be:

y=4x+2