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Yes, the graph of a linear equation can be a line.

There are special cases, sometimes trivial ones like y=y or x=x which are linear equations, but the graph is the entire xy plane.

The point being, linear equations most often from a line, but there are cases where they do not.

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โˆ™ 2011-06-03 13:38:28
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Q: Do linear equations form a line?
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Related questions

Where the given equations are not linear?

Equations are not linear when they are quadratic equations which are graphed in the form of a parabola

How are linear equations and functions alike?

They are not. A vertical line is not a function so all linear equations are not functions. And all functions are not linear equations.

When writing linear equations how do you determine which form of a line to use?

It does not matter because they are equivalent. You can always convert from a slope-intercept form to a standard linear form (and vice versa).

What is a system of linear equations?

A system of linear equations determines a line on the xy-plane. The solution to a linear set must satisfy all equations. The solution set is the intersection of x and y, and is either a line, a single point, or the empty set.

Why are linear equations infinite?

When you graph a linear equation, you make a line. A line continues infinitely.

Linear and nonlinear equations?

A linear equation is, basically, a line. An example is y=2x+3. They are commonly found in the form y=mx+b where m is the slope, and b is the y-intercept (where the line crosses the y-axis). A non-linear equation can be many things. Parabolas and exponential equations are not linear.

Why is linear equations called linear equations?

Because its linear and the equation is a problem to solve

Why can all linear equations that describe functions be written in point slope form?

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.

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.

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.

Is this statement true or false A system of linear equations is a set of two or more equations with the same variables and the graph of each equation is a line?

The statement "A system of linear equations is a set of two or more equations with the same variables and the graph of each equation is a line" is true.

What is a linear line?

The term "linear line" is redundant; lines are necessarily linear, since linear means in the form of a line.

What are inifintly equations?

Linear equations with one, zero, or infinite solutions. Fill in the blanks to form a linear equation with infinitely many solutions.

How are linear inequalities different from linear equations?

A linear equation represents a line. A linear inequality represents part of the space on one side (or the other) of the line defined by the corresponding equation.

Are linear equations and functions different?

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

What is the formula for standard form in linear equations?


What is linear equations in one variable?

Linear equations with one variable will either be horizontal or vertical lines. y=2 is a horizontal line going through (0,2)

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.

What is the classification of a system of equations?

The answer will depend on what kinds of equations: there are linear equations, polynomials of various orders, algebraic equations, trigonometric equations, exponential ones and logarithmic ones. There are single equations, systems of linear equations, systems of linear and non-linear equations. There are also differential equations which are classified by order and by degree. There are also partial differential 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.

What is the difference between a linear graph and a non-linear graph?

The dots on a linear graph form a straight line. The dots on a non-linear graph do not form a straight line.

How can you tell if a graph is a linear function?

The word linear means in a straight line. If the graph is a line, it is linear. Also, linear equations are of the first order; they contain a variable but not a square (or higher power) of a variable. If the equation contains x2 it is not linear.

How are line graphs relates to math?

they express linear equations in a visible way

What is a system of equations that has a solution of all points on one line?

Linear system

Two or more linear equations together form a?

Simultaneous equation

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