Because a linear equation is, by definition, a straight line. Any line can be defined by selecting any one point on the line and the slope of the line.
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.
Most functions are not like linear equations.
Linear equations are a small minority of functions.
Linear equations are always functions.
Linear equations are a tiny subset of functions. Linear equations are simple, continuous functions.
A linear equation is a special type of function. The majority of functions are not linear.
Linear equations can be written as y = mx + b. Any other function would be non-linear. Some linear equations are: y = 3x y = 2 y = -2x + 4 y = 3/4x - 0.3 Some non-linear functions are: f(x) = x2 y = sqrt(x) f(x) = x3 + x2 - 2
yes yes No, vertical lines are not functions
A linear equation is a specific type of function that represents a straight line on a graph. While all linear equations are functions, not all functions are linear equations. Functions can take many forms, including non-linear ones that do not result in a straight line on a graph. Linear equations, on the other hand, follow a specific form (y = mx + b) where the x variable has a coefficient and the equation represents a straight line.
Kent Franklin Carlson has written: 'Applications of matrix theory to systems of linear differential equations' -- subject(s): Differential equations, Linear, Linear Differential equations, Matrices
Charles Andrews Swanson has written: 'Comparison and oscillation theory of linear differential equations' -- subject(s): Differential equations, Linear, Linear Differential equations, Numerical solutions