Answer

Verified

373.5k+ views

**Hint:**As we write the linear equation it is written in more than one form. The most common form is the slope intercept form, but point slope form and standard form also have advantages. In case of any example we determine which form we have to use that is from its unknown value.

**Complete step by step solution:**

We have,

The standard form of a linear equation,

$Ax+By=C$

Whereas, $A,B$ and $C$ are the integers, and also $A$ is non-negative and $A,B,$and $C$ have not any common factor other than $1.$

The most common form is slope intercept form.

The slope of an equation is standard form is:

$m=\dfrac{-A}{B}$

On other side,

The $y$ intercept of an equation is the standard form is:

$\dfrac{C}{B}$

**Additional Information:**

The other way to write slope intercept form is the standard form of equation and the standard form of equation is written as $Ax+By=C.$ As you can also change the slope intercept form is in the standard form. For better understanding we take the example as, $y=\dfrac{-3}{2x}+3$ Now isolate the $y$-intercept and add $\dfrac{3}{2x}$, Now isolate the get, $\dfrac{3}{2x+y}=3$. As we have standard form fraction part does not consider their So, we have to solve it, The equation we get $2\left( \dfrac{3}{2x+y} \right)=3\left( 2 \right)$

$3x+2y=6.$ Then the given equation is considered in a standard form equation.

**Note:**The standard form of a linear equation is are as follows: $Ax+By=C$ There are some restriction which you need to remember that is $A$ and $B$ cannot be zero and $A$ and $B$ both are integers and $A$ is positive number. In the standard form no fraction nor decimal accepts in the equation. For example we take $\dfrac{1}{3}x+\dfrac{1}{4}y=4$ we can say that the equation is not in the standard form and another example as $4x+3y=8$ then the given equation is in the standard form.

Recently Updated Pages

The base of a right prism is a pentagon whose sides class 10 maths CBSE

A die is thrown Find the probability that the number class 10 maths CBSE

A mans age is six times the age of his son In six years class 10 maths CBSE

A started a business with Rs 21000 and is joined afterwards class 10 maths CBSE

Aasifbhai bought a refrigerator at Rs 10000 After some class 10 maths CBSE

Give a brief history of the mathematician Pythagoras class 10 maths CBSE

Trending doubts

Difference Between Plant Cell and Animal Cell

Give 10 examples for herbs , shrubs , climbers , creepers

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Name 10 Living and Non living things class 9 biology CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Fill the blanks with proper collective nouns 1 A of class 10 english CBSE

Select the word that is correctly spelled a Twelveth class 10 english CBSE

Write the 6 fundamental rights of India and explain in detail