Mainly when we study about relationship of operators on numbers then this study is called the algebra. In grade V of icse board we learn how to use operations like addition, subtraction, multiplication, associative property of addition and multiplication worksheets and division on numbers, but in grade VI, we have to learn some new topics from algebra 2, but here we discuss topics about Equations which shows linear relationships.
So, first of all we discuss what is linear? Linear means one side is equal to other side like: x = 9
This means this equation is represent value of x is equal to 9.
Now we discuss what is relationship? Basically when one quantity is related to other quantity or we can say that one quantity is depend on other quantity then this dependency is known as a relation.(want to Learn more about algebra, click here),
Linear relationship is a way to represent relationship between two or more quantities in linear form. As we know velocity depends on acceleration and time and these three quantity are related with each other, then we define relationship in mathematical equation way –
v = at + c
And this equation as a representation between these linear relative quantities is called an Equations for linear relationships. We can call Equations for linear relationships as linear equations in short. So, we further proceed to understand linear equation:
1) Linear equation with two variables and one constant:
We take an example to understand about linear equation of two variables and one constant like we have two variables x, y, constant c and m is slope then linear equation between x and y is -
y = mx + c
This is standard linear equation and this equation is also known as a line equation. So , when we draw graph between two variables x and y, then it shows straight line and each point of straight line shows result of linear equation like we take an example -
Here slope m = 2 and constant c = 1
2) linear equation with three constants and two variables : We take an example to understand linear equation of three constants and two variables like we have A , B and C three constants and two variables x and y , then linear equation is -
Ax + By = C
Now, we will discuss about graphical representation of these type of linear equation : it shows straight line graph and each point of straight line shows result of linear equation . So, graphical representation of above equation Ax + By = C is -
To determine the y intercept of the line,
Put x= 0, solve for y = C/B =b;
To determine the x intercept of the line,
Put y = 0, solve for x = C/A = a;
This graph shows us how we get x intercept and y intercept from linear equations like Ax + By = C.
This is all about the algebra and if anyone want to know about Algebraic Expressions then they can refer to Internet and text books for understanding it more precisely. Read more maths topics of different grades such as Arithmetic sequences in the upcoming blogs.
So, first of all we discuss what is linear? Linear means one side is equal to other side like: x = 9
This means this equation is represent value of x is equal to 9.
Now we discuss what is relationship? Basically when one quantity is related to other quantity or we can say that one quantity is depend on other quantity then this dependency is known as a relation.(want to Learn more about algebra, click here),
Linear relationship is a way to represent relationship between two or more quantities in linear form. As we know velocity depends on acceleration and time and these three quantity are related with each other, then we define relationship in mathematical equation way –
v = at + c
And this equation as a representation between these linear relative quantities is called an Equations for linear relationships. We can call Equations for linear relationships as linear equations in short. So, we further proceed to understand linear equation:
1) Linear equation with two variables and one constant:
We take an example to understand about linear equation of two variables and one constant like we have two variables x, y, constant c and m is slope then linear equation between x and y is -
y = mx + c
This is standard linear equation and this equation is also known as a line equation. So , when we draw graph between two variables x and y, then it shows straight line and each point of straight line shows result of linear equation like we take an example -
Here slope m = 2 and constant c = 1
2) linear equation with three constants and two variables : We take an example to understand linear equation of three constants and two variables like we have A , B and C three constants and two variables x and y , then linear equation is -
Ax + By = C
Now, we will discuss about graphical representation of these type of linear equation : it shows straight line graph and each point of straight line shows result of linear equation . So, graphical representation of above equation Ax + By = C is -
To determine the y intercept of the line,
Put x= 0, solve for y = C/B =b;
To determine the x intercept of the line,
Put y = 0, solve for x = C/A = a;
This graph shows us how we get x intercept and y intercept from linear equations like Ax + By = C.
This is all about the algebra and if anyone want to know about Algebraic Expressions then they can refer to Internet and text books for understanding it more precisely. Read more maths topics of different grades such as Arithmetic sequences in the upcoming blogs.
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