The table below represents a function. which of the following equations could be its function rule? x y 0 -2 1 0 3 4 -2 -6

the function described in the table would be y = 2x - 2.

in order to find the equation, we need to start by picking two points to use. for ease, we'll use ones with 0's in them: (0, -2) and (1, 0).

next we'll find the slope. the slope formula is below.

m = (y2 - y1)/(x2 - x1)

in this equation, m is the slope and (x1, y1) is the first ordered pair and (x2, y2) is the second. so we put in the numbers and solve for m.

m = (y2 - y1)/(x2 - x1)

m = (0 - -2)/(1 - 0)

m = 2/1

m = 2

now that we have this, we can use slope intercept form and either of the points we just used to find the y-intercept.

y = mx + b

-2 = 2(0) + b

-2 = 0 + b

-2 = b

now we put this intercept and the slope in the formula and get our equation.

y = 2x - 2