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ax + by + c = 0 where x and y are the variables, a, b and c are numerical constants.

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What is the standard from of a linear equation?

A linear equation is that equation in which a variable or variables has exponent equal to 1. For example, standard form of linear equation in one variable: a1x + a2x +.......+ anx = c Standard form of a linear equation : a1x + a2x +.........+ anx = c e.g. 4x + 3 =6, 3x + 6y + 5z = 2 etc.


General form of linear equation?

y = mx + b


Whats the difference between a quadratic equation and a linear equation?

Using "^" for powers. A quadratic equation has a term like x squared (or whatever variable you are using squared). For example, 5x^2 + 3x - 7 = 0. The general form is ax^2 + bx + c = 0. A linear equation uses only the first power of a variable; this power is usually not explicitly written. The general form is ax + b = 0; specific examples are 5x + 3 = 0, or x - 7 = 0. The above assumes you use a single variable; linear and quadratic equations with several variables are also possible.


Which is the correct form for a linear equation?

The general form is for a linear equation in n variables is SUM aixi = b (i = 1,2,3,...,n) where xi are the variables and the ai are constant coefficients.


What is the highest exponent in a linear equation?

In a linear equation, the highest exponent of the variable is 1. This means that the equation can be expressed in the form ( ax + b = 0 ), where ( a ) and ( b ) are constants, and ( x ) is the variable. The linearity indicates a constant rate of change, resulting in a straight line when graphed.


What is another name for the y term in a linear equation?

Another name for the y term in a linear equation is the "dependent variable." This is because its value depends on the value of the independent variable, usually represented by x. In the context of a linear equation in the form y = mx + b, y is the output that changes based on different values of x.


What is the difference between a linear equation with one variable and a linear equation with two variables?

A function of one variable is of the form y=f(x) where all you need to know in order to get values for y is the value of the independent variable, x. A function of two variables is of the form z=f(x,y) where you need to know the values of both x and y to get a value for z. A linear equation is simply and algebraic equation where all variables, regardless of how many there are, are raised to the power of one.


How do you know if something is non - linear?

If in the form of an equation, it has a variable with a power other than 0 or 1. If in the form of a graph, it is not a straight line.


What is standard form linear equation's?

A standard form of a linear equation would be: ax + by = c


How can i solve and graph linear equations?

To solve a linear equation, you can use algebraic techniques such as isolating the variable by performing inverse operations. For example, if you have an equation like 2x + 3 = 9, you can subtract 3 from both sides to isolate the variable x. To graph a linear equation, you can plot points by choosing values for one variable, finding the corresponding values for the other variable, and connecting the points to form a straight line. The slope-intercept form (y = mx + b) is particularly useful for graphing linear equations, where m represents the slope and b represents the y-intercept.


What is the general for of a linear equation?

The most general form of a linear equation, in n-dimentional space, is y = sum(mixi) + c where the summation is over i = 1,2,3,...,n-1 The simpler (2-dimensional) version of the linear equation is y = mx + c where m is the slope and c is the y-intercept.


What is the definition of a linear equation?

A linear equation is a mathematical expression that represents a straight line when graphed on a coordinate plane. It typically takes the form ( ax + by = c ), where ( a ), ( b ), and ( c ) are constants, and ( x ) and ( y ) are variables. The equation describes a relationship between the variables that can be solved for one variable in terms of the other. Linear equations have a degree of one, meaning the highest power of the variable is one.