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Are A linear equation determines a line in the xy-plane?

Yes, the world "linear" and "line" have the same root.


Is this a linear equation - xy equals 24?

no. its an exponential with a vertical zero axis


Is 6xy 3x-4 a linear equation?

No, the equation (6xy = 3x - 4) is not a linear equation. A linear equation can be expressed in the form (Ax + By = C), where A, B, and C are constants, and x and y are variables that are only to the first power. In this equation, the presence of the (xy) term indicates that it is a nonlinear equation.


If you are given the graph of a line in an xy-plane and its corresponding equation you can be sure that the coordinates of every point on that line will satisfy the equation?

Yes, I'm confident of that.


How would you know if the equation is liner by just looking at the equation?

No powers also, no x times y i.e. xy = 1 is not linear


Is xy equals 6 a linear equation?

Yes. You can tell by the fact that both variables are raised to the first power.


Is 6xy plus 3x equals 4 a linear equation?

No. In the variable x, alone, it is linear. In the variable y, alone, it is linear. But taken together, in x and y, you have a term which contains xy - that is, a term in which the powers of the unknowns add to 2. So the equation is not linear.


Is 7xy-11 a linear equation?

No, the expression (7xy - 11) is not a linear equation because it contains the product of two variables, (x) and (y). A linear equation in two variables typically has the form (Ax + By + C = 0), where the variables are not multiplied together. In this case, the presence of the term (xy) indicates that the equation is nonlinear.


Is xy10 linear?

No, because in a linear equation, the variables cannotmultiply or divide each other. For example, xy won't work either x/y will work too.


What is a system of linear equations?

A system of linear equations determines a line on the xy-plane. The solution to a linear set must satisfy all equations. The solution set is the intersection of x and y, and is either a line, a single point, or the empty set.


Does a linear equation determine a line in the xy-plane?

It can, but it can also determine a line in multi-dimensional (eg 3-d) space.


Is xy equals 1 a linear equation?

No because when you place x in terms of y, you get y = 1/x ( by dividing both the sides by x). This is not linear because the power of x is (-1) and for a linear relationship, you need the power of x to be (1).