What is a Linear Equation?

y=2x-2 is a linear equation
6y-3x=4 is also a linear equation
x²+5x is not a linear equation because it doesn't have an equals sign, and it has an x² in it
y=2x-2 is a function, so it must have some ordered pairs that are solutions
(2,2) is a solution to the linear equation y=2x-2 because we get a true statement when we plug it in
(4,3) is not a solution to y=2x-2 because we get a false statement when we plug it in

1. Linear equations are equations, so they must have an equals sign
2. Linear equations also have an 'x' term raised to the first power
1. So if we plug the x and y values of an ordered pair into a linear equation and we get a true statement, that ordered pair is a solution to the equation
2. When we plug (2,2) into y=2x-2, we get the true statement 2=2
3. So (2,2) is a solution to the equation
4. When we plug (4,3) into y=2x-2, we get the false statement 3=6
5. So (4,3) is NOT a solution to the equation
1. Notice that solutions to linear equations fall on the line, and points that are not solutions do not
2. So the solution we found before (2,2) is on the line y=2x-2, but (4,3) is not
1. This example is a curved line, so it is not a linear equation

What is a linear equation?