Yes, the world "linear" and "line" have the same root.
no. its an exponential with a vertical zero axis
No powers also, no x times y i.e. xy = 1 is not 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.
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).
Yes, the world "linear" and "line" have the same root.
no. its an exponential with a vertical zero axis
Yes, I'm confident of that.
No powers also, no x times y i.e. xy = 1 is not linear
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.
Yes. You can tell by the fact that both variables are raised to the first power.
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.
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.
It can, but it can also determine a line in multi-dimensional (eg 3-d) space.
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).
Yes, the graph of a linear equation can be a line. There are special cases, sometimes trivial ones like y=y or x=x which are linear equations, but the graph is the entire xy plane. The point being, linear equations most often from a line, but there are cases where they do not.
A solution to a linear inequality in two variables is an ordered pair (x, y) that makes the inequality a true statement. The solution set is the set of all solutions to the inequality. The solution set to an inequality in two variables is typically a region in the xy-plane, which means that there are infinitely many solutions. Sometimes a solution set must satisfy two inequalities in a system of linear inequalities in two variables. If it does not satisfy both inequalities then it is not a solution.