By using Cartesian equations for circles on the Cartesian plane
y=x2 and y=lnx are two examples of nonlinear equations.
Standard form can have two meanings in mathematics. One is the standard form of linear equations, where the terms are written as Ax + By = C, and the other is a reference to scientific notation.
I suggest that the simplest way is as follows:Assume the equation is of the form y = ax2 + bx + c.Substitute the coordinates of the three points to obtain three equations in a, b and c.Solve these three equations to find the values of a, b and c.
Addition and subtraction are mathematical processes. They can be used in equations, which are statements that the values of two mathematical expressions are equal, but they are not equations by themselves.
y=a(bx) is the standard form
Standard form for equations of two variables is preferred when solving the system using elimination.
Ax+By=C
2x + 3y = 6
2x - 2y= 26
There are many different standard forms: standard forms of numbers, of linear equations, of circles, etc. The standard form of numbers simplifies working with very large and very small numbers.
Equations are never parallel, but their graphs may be. -- Write both equations in "standard" form [ y = mx + b ] -- The graphs of the two equations are parallel if 'm' is the same number in both of them.
By using Cartesian equations for circles on the Cartesian plane
y = 2(x - (-4))2 + (-21)
y=x2 and y=lnx are two examples of nonlinear equations.
The theory of radio waves and waveguides is explained in terms of equations in the form of vector calculus. Examples are Maxwell's equations.
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).