M 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 y = x - 2 y = 3x - 3 y = -2x y = 2x - 2

slope-intercept form of a line y=mx+b.

where m= slope and b=y-intercept.

y-intercept is a point at which the the graph of the line intersect at y-axis. at y-axis x is 0.

from the given data, notice that y=-2 for x=0.

so, b=-2.

now we just need to find the value of m to get the equation.

let's use any point from the data and plug into the above equation .

so, by using (1, 0), substitute x=1, y=0 and b=-2 in y=mx+b. so,

0=m*1 -2

0=m-2

0+2=m-2+2 add 2 to each sides.

2=m.

so, the equation will be y=2x-2.