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The graph, in the Cartesian plane, of a linear equation is a straight line. Conversely, a straight line in a Cartesian plane can be represented algebraically as a linear equation. They are the algebraic or geometric equivalents of the same thing.

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Q: What is the relation between straight lines and linear equations?
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Related questions

What is the relationship between geometry and non-linear equations?

Non-linear equations represent shapes other than straight lines.Non-linear equations represent shapes other than straight lines.Non-linear equations represent shapes other than straight lines.Non-linear equations represent shapes other than straight lines.


Why is linear equations called linear equations?

Because its linear and the equation is a problem to solve


What are the linear systems?

A "system" of equations is a set or collection of equations that you deal with all together at once. Linear equations (ones that graph as straight lines) are simpler than non-linear equations, and the simplest linear system is one with two equations and two variables.


What is the difference between a linear quadratic and a quadratic quadratic?

There is no quadratic equation that is 'linear'. There are linear equations and quadratic equations. Linear equations are equations in which the degree of the variable is 1, and quadratic equations are those equations in which the degree of the variable is 2.


Why are linear equations called linear equations?

Because, if plotted on a Cartesian plane, all solutions to the equation would lie on a straight line.


What similarities and differences do you see between the function and linear equations?

Linear equations are a tiny subset of functions. Linear equations are simple, continuous functions.


How does a linear relationship look different from a nonlinear relationship on graph?

A linear relation is a straight line. A non-linear relation is not - it mayor may not be be a curve.


How are linear equations similar or different from 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.


What are the importance of linear equation?

They are the simplest form of relationship between two variables. Non-linear equations are often converted - by transforming variables - to linear equations.


What is the definition of Simultaneous Linear Equations?

A system of linear equations is two or more simultaneous linear equations. In mathematics, a system of linear equations (or linear system) is a collection of linear equations involving the same set of variables.


Who discovered linear eqations?

It was the French mathematician Rene Descartes who created linear equations which are plotted on the Cartesian plane as straight lines.


Are linear equations and functions different?

All linear equations are functions but not all functions are linear equations.