Final answer:
The equation 4xy = 8 is not linear because it involves a product of variables x and y, indicating a hyperbolic relationship, which graphs as a curve, not a straight line.
Step-by-step explanation:
The equation 4xy = 8 is not a linear equation because it does not represent a relationship between variables x and y that results in a graph of a straight line. Linear equations are of the form y = mx + b, where m is the slope and b is the y-intercept.
In the equation 4xy = 8, since the variables are multiplied together, this forms a nonlinear relationship.
Unlike the example 7y = 6x + 8 which is linear, 4xy = 8 would graph as a curve in the coordinate plane due to it representing a hyperbolic relationship between x and y.