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Joint variation equations are equations that have a variable equal to the product of two or more other variables and usually a coefficient. For example, an equation like x=2yz.

Q: What are joint variation equations?

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Both are variations of certain kinds of equations. X=kY is a direct variation since X varies directly as Y and k is the constant of variation. X=k/Y is an inverse variation where X varies inversly as Y and k is the constant of variation. Both of these variations are also functions.

No. The origin must be a solution for any direct variation.

For a direct variation equation the constant MUST be 0. Then the ratio of a pair of values of the two variables is the slope.

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.

Equivalent equations are equations that have the same solution set.

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Joint variation

Both are variations of certain kinds of equations. X=kY is a direct variation since X varies directly as Y and k is the constant of variation. X=k/Y is an inverse variation where X varies inversly as Y and k is the constant of variation. Both of these variations are also functions.

No. The origin must be a solution for any direct variation.

Yes.

i have no clue

There is only one equation that is given in the question and that equation is not a direct variation.

Joint variation is a variation in which y varies jointly as x or powers of x () and y or powers of z ( ), if there is some nonzero constant k such that , where x ≠ 0, z ≠ 0, and n > 0. Source~http://www.icoachmath.com/SiteMap/JointVariation.html

For a direct variation equation the constant MUST be 0. Then the ratio of a pair of values of the two variables is the slope.

yes

In my view, the best plot for bivariate data is a scatter plot.

Linear has a slope direct does not but both go through the orgin

The term is "half lap" and it is a variation of the standard "lap joint".