What are the difference between linear equation and quadratic equation?

Answer 1

A linear equation is an equation that defines a relationship between variables, where each side of the equation consists of the sum of one or more terms, where each term must be one of: * A constant * A variable * A constant multiplied by a single variable All linear equations can be written as a first order polynomial equated to zero, but they may be written in many different forms. For example, the following are examples of linear equations, and the same equations written in its general form: * x = y + 5 >> x - y - 5 = 0 * 2x + 6y = 23 >> 2x + 6y - 23 = 0 * 5x + 3y = 4z - 20 >> 5x + 3y - 4z + 20 = 0 A linear equation with n variables defines a set of solutions in n-space, for example a linear equation with two variables defines a line in Cartesian (2D) coordinates, while one with three variables would define a plane in Euclidian (3D) coordinates. A linear equation with two variables defines a line in Cartesian coordinates, that is, if you graph the solutions to the equation on the x,y plane it will define a straight line.

As you saw earlier, there are any number of ways that a linear equation may be written, but there are several recognized forms that are normally used. The one that most people are probably most familiar with is the "Slope-intercept" form, which looks like this:

y = mx + b

where:

m is the slope of the line

b is the y intercept of the line

The shortcoming of this form is that it cannot define lines that are vertical, i.e. lines parallel to the y axis. Thus this form is only valid when y varies as a function of x.

To allow the definition of any straight line, other forms must be used, such as: * General Form: Ax + By + C = 0 * Standard Form: Ax + By = C

Answer 2

A linear equation has variables raised to the power of 1, which means it represents a straight line on a graph. A quadratic equation has variables raised to the power of 2, which means it represents a parabolic curve on a graph. Additionally, quadratic equations have a second-degree term that linear equations do not have, making them more complex.

Answer 3

A quadratic equation must be able to be written in the form: y = ax2 + bx + c where a is not equal to zero. The graph will be a parabola. There must be a "squared" term and no larger exponent than "2". A linear equation will consist of variables only to the first power and the graph will be a straight line. Y = mx + b is an example of a liear equation where m will represent the slope and b will represent the y-intercept.