If y = 2x - 8, find the minimum value of the product of xy.
I think this is -8.
You are correct.
To find the minimum value of the product of xy, we first need to find the minimum value of y.
Given the equation y = 2x - 8, we can see that the graph is a line with a slope of 2. This means that as x increases, y also increases, and vice versa.
To find the minimum value of y, we need to find the vertex of the parabola. Since this is a linear equation (y = mx + b), it does not have a vertex that is traditionally associated with a parabola. However, we can still determine the minimum value of y by finding the y-coordinate when x is at its extreme point.
In this case, since the line is straight and continues indefinitely in both directions, there is no extreme point. Therefore, there is no minimum value of y.
As a result, there is no minimum value of the product of xy.