In a linear equation, the highest power of all variables is 1.
eg
y = x + 3
In this example, the variable (x) has a power of 1 (remember, x1 is the same as x).
Therefore, a linear equation.
eg 2
y = x2 +7
eg 3
y = p3 + p - 89
In example 2 and 3, variables have a power higher than 1.
Hence, they are non-linear equations.
Chat with our AI personalities
You can easily tell by substituting 0 for a.
If the two equations are linear transformations of one another they have the same solution.
An equation is a statement that two things are equal. A function is a rule or process that gives you a value if you give it something in its domain (the set of things on which it is defined) as an argument. Functions on numbers that are defined by a rule can usually be expressed by an equation. A linear function is one that can be defined by a linear equation.
You can be certain if the equation is linear, that is, of the form ax + b = 0 where a and b are constants.
A linear equation has no higher powers than 1. This is linear.