The slope of a direct variation function is -4. What is the equation of the function?

with constant k, the relation is

y = kx

So, plug in your constant.

To determine the equation of a direct variation function, we need to use the general form of such a function, which is y = kx, where k is the constant of variation. In this case, you're given that the slope (which is also equal to k) is -4. Therefore, the equation of the direct variation function can be written as y = -4x.

Note that in direct variation functions, the variable y varies directly with x, meaning that as x increases or decreases, y will also increase or decrease in a proportional manner.