Is this a direct variation y= -2x + 6
Yes, the equation y = -2x + 6 represents a direct variation.
In a direct variation, two variables are related in such a way that when one variable increases, the other variable also increases (or decreases) proportionally.
To determine if an equation represents a direct variation, we look for the following general form: y = kx, where k is the constant of variation. In this case, we have y = -2x + 6.
To check if this equation represents a direct variation, we compare it with the general form. Notice that the equation matches the general form if we rewrite it as y = -2x + 6. Therefore, the equation is a direct variation with a constant of variation k = -2.