Answer true or false to each of the following statements and explain your answers.
a. The y-intercept of a plane has no effect on the rate at which the plane increases or decreases as one of the independent variables changes.
b. If a plane has a negative partial slope for the independent variable x1, then y-values on the plane increase as x1 increases provided the other independent variables remain unchanged.
c. A linear equation that involves independent variables x1 and x2 and that has both partial slopes equal to zero has a graph that is a plane that does not increase or decrease as 1 or x2 change value.
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