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For two main reasons.
The first reason is that, depending on the information that is available to you (two points, a point and slope, slope and intercept) one or the other form is easier to find.
The second reason is that different forms are "better" in different situations. The slope and intercept are parameters that have very obvious interpretations in 2-dimensional geometry. In 3-d, however, they don't make such obvious sense.
The general form: ax + by + cz = k where a, b, c and k are constants is a line in 3-dimensional space. It is easily converted to 2-d (just remove the z term) or extended to 4-dimensions (add a "dw" term where d is a constant and w another variable). Extension to 5 or more dimensions is done similarly.
What else can I help you with?
Two or more linear equations together form a?
Simultaneous equation
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.
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 are 2 symbolic techniques used to solve linear equations and which is better?
There are more than two methods, and of these, matrix inversion is probably the easiest for solving systems of linear equations in several unknowns.
What is Simultaneous Equations?
Simultaneous equation is nothing: it cannot exist.A system of simultaneous equations is a set of 2 or more equations with a number of variables. A solution to the system is a set of values for the variables such that when the variables are replaced by these values, each one of the equations is true.The equations may be linear or of any mathematical form. There may by none, one or more - including infinitely many - solutions to a system of simultaneous equations.
Two or more linear equations together form a?
Simultaneous equation
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 are two or more linear equations using the same variables called?
A system of linear equations.
What are linear equtions and simultanions equations?
Linear Equations are equations with variable with power 1 for eg: 5x + 7 = 0 Simultaneous Equations are two equations with more than one variable so that solving them simultaneously
Can there be more than one point of intersection between the graphs of two linear equations?
Normally no. But technically, it is possible if the two linear equations are identical.
Why Do you Study linear equations?
we study linear equation in other to know more about quadratic equation
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.
Are Lines cooler the Triangles?
Depends if you enjoy Linear Equations or Trigonometry more. :)
What are 2 symbolic techniques used to solve linear equations and which is better?
There are more than two methods, and of these, matrix inversion is probably the easiest for solving systems of linear equations in several unknowns.
What is Simultaneous Equations?
Simultaneous equation is nothing: it cannot exist.A system of simultaneous equations is a set of 2 or more equations with a number of variables. A solution to the system is a set of values for the variables such that when the variables are replaced by these values, each one of the equations is true.The equations may be linear or of any mathematical form. There may by none, one or more - including infinitely many - solutions to a system of simultaneous equations.
What is the solution to a linear equation?
The solution to a system on linear equations in nunknown variables are ordered n-tuples such that their values satisfy each of the equations in the system. There need not be a solution or there can be more than one solutions.
What are the three types of systems of linear equations and their characteristics?
Independence:The equations of a linear system are independent if none of the equations can be derived algebraically from the others. When the equations are independent, each equation contains new information about the variables, and removing any of the equations increases the size of the solution set.Consistency:The equations of a linear system are consistent if they possess a common solution, and inconsistent otherwise. When the equations are inconsistent, it is possible to derive a contradiction from the equations, such as the statement that 0 = 1.Homogeneous:If the linear equations in a given system have a value of zero for all of their constant terms, the system is homogeneous.If one or more of the system's constant terms aren't zero, then the system is nonhomogeneous.
