Determine whether the equation is a function.x - 6y = 4

To determine if an equation is a function, you need to make sure that for every input (x-value), there is exactly one output (y-value).

The given equation is x - 6y = 4.

Let's solve this equation for y to see if for each x there is only one corresponding y.

Step 1: Subtract x from both sides of the equation: -6y = 4 - x

Step 2: Divide both sides of the equation by -6 to solve for y: y = (4 - x) / -6

Now, the equation is in the form y = f(x), which is the standard form for a function of x.

Therefore, the equation x - 6y = 4 is a function because for every x there is exactly one y.