What is the Degree of a Linear Equation?

[Q] What is the Degree of a Linear Equation?

ANSWER:

In Algebra, the degree is the largest exponent of the variable in the given equation. The equations and polynomials are named based on their degree. If the equation has a degree of one, it is a linear equation. In short, the degree of linear equations is always one. For example, 3x + 10 = z, has a degree 1 so it is a linear equation. Linear equations are also called first degree equations, as the exponent on the variable is 1. “Degree” is also called “Order” sometimes.

Linear equation: If the maximum power of the variable / variables in an equation is 1, then the equation is known as a linear equation.

Example of linear equation is x+y=4.

Degree:

The maximum power variable of an equation is known as a degree:

So, the degree of a linear equation is 1.

What is the highest degree of a linear equation?

The highest degree of a linear equation:

• The degree of the linear equation is the highest power of the variable in the linear equation.
• The standard form linear equation of two variables is
  $Ax+By=\mathrm{C,\; where}$ $\mathrm{x\; and}$ $\mathrm{B\; are\; coefficients\; of}$ $\mathrm{x\; and}$ $y$.
• The standard form linear equation of one variable is
  $Ax=\mathrm{B,\; where}$ $\mathrm{x\; is\; the\; coefficient\; of}$ $x$.
• The variable in the linear equation has degree 1.
• Therefore, a linear equation is also known as a one-degree equation.