In the special case of two related variables (e.g., 2x - 7y + 5 = 0), the graph is a straight line.
They are not. A vertical line is not a function so all linear equations are not functions. And all functions are not linear equations.
Linear equations are a small minority of functions.
Most functions are not like linear equations.
There are linear functions and there are quadratic functions but I am not aware of a linear quadratic function. It probably comes from the people who worked on the circular square.
y = 0 and y = 1 are two linear functions. They're not especially interesting ones.
All linear equations are functions but not all functions are linear equations.
They are not. A vertical line is not a function so all linear equations are not functions. And all functions are not linear equations.
Linear equations are always functions.
Linear equations are a small minority of functions.
Most functions are not like linear equations.
A linear equation is a special type of function. The majority of functions are not linear.
There are linear functions and there are quadratic functions but I am not aware of a linear quadratic function. It probably comes from the people who worked on the circular square.
"Linear algebra is a branch of mathematics that studies vector spaces, also called linear spaces, along with linear functions that input one vector and output another." (from Wikipedia)
A linear function is called "linear" because it represents a straight line. To graph a linear function, find two points that satisify that function, plot them, and then draw a straight line between them.
Linear equations are a tiny subset of functions. Linear equations are simple, continuous functions.
Functions that do not result in a line when graphed.
y = 0 and y = 1 are two linear functions. They're not especially interesting ones.