b0 = 12, b1 = 0, b22 = −5 a. determine whether the plane slopes upward, slopes downward, or is horizontal in the x2 axis direction, when x1 is fixed at a specified value. b. find the equation of the plane.

The given values are b₀ is 12, b₁ is 0 and b₂ is –5.

a.

Check whether the plane slopes upward, downward or horizontal in the x₂ axis direction when x₁ is fixed at a specific value.

Direction of the slope of a plane:

If the sign of the slope is positive, then the plane slopes upward with respect to the axis.

If the sign of the slope is negative, then the plane slopes downward with respect to the axis.

If the sign of the slope is 0, then the plane slopes remains horizontal with respect to the axis.

Here, the value of slope for x₂ is –5. It indicates that the plane slopes downward in the x₂ axis direction when x₁ is fixed at a specific value.