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Why is the origin 0 0 so important in direct variation?

Updated: 4/28/2022
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Shaneedickerson1

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9y ago

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The origin 0 0 so important in direct variation since it is the reference point.

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Q: Why is the origin 0 0 so important in direct variation?
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What is the y-intercept of the graph of a direct variation equation?

Graphs of direct variation pass through the origin so the y-intercept would be 0.


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No, it is not a direct variation.


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Yes, you can have a negative coefficient in a direct variation. So if you had y = -7x, that would be a direct variation. If you have y = -x, I do not know, if that is what you mean. Hope it helped.


Is the problem y equals 3x a direct variation if so what is the constant of variation?

y=3x is a direct variation in that y varies directly with x by a factor of 3. Any linear equation (a polynomial of degree 1, which is a polynomial equation with a highest exponent of 1), is a direct variation of y to x by some constant, and this constant is simply the coefficient of the "x" term. Other examples: y=(1/2)x is a direct variation, and the constant of variation is 1/2 y=-9x is a direct variation, and the constant of variation is -9


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There are different types of variation in math - direct variation, inverse variation, and joint variation for a start. Direct variation is just simply that x and y vary directly. What this means is that they do the same thing - as x increases so does y, or as x decreases so does the value of y. In general the formula for direct variation is y=kx where k is the constant of variation. (For example we could have a direct variation equation such as y=2x. The constant of variation is 2, which just means that as x increases, y doubles that amount and thus also increases) Inverse variation is when x and y do the opposite of each other. So as x increases, y decreases or as x decreases the value of y increases. One fun example of where this happens in real life is with Ramen Noodles - the less money people make the more Ramen Noodles they buy. We would say that people's income and the amount of Ramen Noodles they buy vary inversely. In general the formula for inverse variation is y = k/x where again k is the constant of variation. Joint variation is when you have three variables that are related. The general formula for joint variation is y=kxz where z is just a third variable and k is still the constant of variation.