Respuesta :

Answer: -6x

Step-by-step explanation: Since when x is 0, the function's output is 0, the function can only have terms with x in it. You then notice a pattern that x is always being multiplied by -6. You could also use point slope form to solve it, either way you get f(x)=-6x

Answer:

f(x) = -6x

Step-by-step explanation:

The linear equation given in the form of a table is shown as:

[tex]\left[\begin{array}{ccc}x&f(x)\\0&0\\1&-6\\2&-12\\3&-18\end{array}\right][/tex]

Because the equation is linear, in order to find the equation written in slope-intercept form, divide the rise (f(x)) by the run (x):

0 ÷ 0 = 8

-6 ÷ 1 = 8

-12 ÷ 2 = 8

-18 ÷ 3 = 8

Because the quotient for each relation is -6, the linear equation can be written as f(x) = -6x.