You will include zero in finding an average if it is present in the problem. For example, you want to average quiz scores of 75, 100, 90, 0, 80. You would include zero. If zero isn't listed, don't use it.
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Yes, you MUST.
Oh, finding the x and y intercepts is like finding little treasures in your painting. To find the x-intercept, you set y to zero and solve for x. To find the y-intercept, you set x to zero and solve for y. Remember, there are no mistakes in mathematics, just happy little accidents.
Undefined: You cannot divide by zero
Add them together, divide by 2.