15 question write a rule for the linear function in the table

Using the table f(-4)=16
Using that you know -4 = x and know that -4×-4 = 16 so the answer is f(x) = -4x

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:



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