
What is the Highest Degree of Linear Equation?
Answer
491.1k+ views
Hint: In this problem they have asked to calculate the highest degree of a linear equation. For this we will first define what Linear Equation is and from the definition we can write one or two examples for the linear equations. From the considered examples we can write the degree of the linear equation. By observing the degrees of assumed linear equations we can find the Highest Degree of Linear Equation.
Complete step by step answer:
We can define a Linear Equation as ‘A linear Equation in one variable is an equation which can be written in the form of $ax+b=c$ where $a$ , $b$ and $c$ are real numbers such that $a\ne 0$ ‘.
We can also define a linear equation in two variables as an equation which can be written in the form of $ax+by+c=0$ where $a$ , $b$ and $c$ are real numbers such that $a\ne 0$, $b\ne 0$ .
All the linear equations will give a straight line when we plot them in a coordinate system.
Let us assume the linear equations $2x+3=7$ , $2x+4y+5=0$ .
We can observe the degree of both assumed linear equations as $1$ since the exponents of the variables is always $1$.
The graphs of the assumed equations will be
Hence the Highest Degree of Linear Equations is $1$.
Note: In this problem we have only asked about the Linear equations, so we have defined and analyzed the properties of linear equations according to the question. In some cases they may ask about the Quadratic equation or Cubic equations. Then also we can follow the above procedure.
Complete step by step answer:
We can define a Linear Equation as ‘A linear Equation in one variable is an equation which can be written in the form of $ax+b=c$ where $a$ , $b$ and $c$ are real numbers such that $a\ne 0$ ‘.
We can also define a linear equation in two variables as an equation which can be written in the form of $ax+by+c=0$ where $a$ , $b$ and $c$ are real numbers such that $a\ne 0$, $b\ne 0$ .
All the linear equations will give a straight line when we plot them in a coordinate system.
Let us assume the linear equations $2x+3=7$ , $2x+4y+5=0$ .
We can observe the degree of both assumed linear equations as $1$ since the exponents of the variables is always $1$.
The graphs of the assumed equations will be
Hence the Highest Degree of Linear Equations is $1$.
Note: In this problem we have only asked about the Linear equations, so we have defined and analyzed the properties of linear equations according to the question. In some cases they may ask about the Quadratic equation or Cubic equations. Then also we can follow the above procedure.
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