To write a rule or equation of the linear function we can use any two points. I will be using first two points for solving the question.
First point is (-4, 16) and second point is (0,0). First using these points we can find the slope (m) of the line:
[tex]m= \frac{16-0}{-4-0} =-4[/tex]
Using this slope and the point (0,0) we can write the equation of the line as:
y - 0 = -4(x-0)
y = - 4x
Thus y = - 4x gives the rule of the linear equation shown in the table