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Relationship between variables in direct proportionality and inverse proportionality?
Variables X and Y are in direct proportion is Y = c*X for some constant c (not zero). Then X increases whenever Y increases and conversely. Y increases by c times the increase in X. Variables X and Y are in inverse proportion is X*Y = k for some constant k (not zero). Then X increases whenevr Y decreases and conversely.
How would you describe varies directly and show it in an equation?
when x increases y increases.. y=kx
What happens to the y value as the x value increases by 1?
Is there a specific equation involved here? Otherwise, X and Y are unrelated. It's possible for Y to stay the same no matter what you do with X. In this case, when graphing it, you get a line going straight across. Every equation is different, and will cause Y to do different things when you change X.
What type of graph has direct variation?
The statement "y varies directly as x," means that when x increases, y increases by the same factor. In other words, y and x always have the same ratio where k is the constant of variation.
Why is the line x equals 4 a verticle line?
The line x = 4 is a verticle line because, in a standard x-y graph, where x increases to the right and y increases upwards, the graph x = 4 is all points y, where x is 4. That is a verticle line, with infinite slope.
