Independent Variables and Dependent Variables are the categories of the variables in maths. Before going into the concept of Independent and Dependent Variables in coordinate geometry we will discuss variables in maths. Also, let us know the similarities of independent variables and dependent variables, differences between Independent Variables and Dependent Variables with example problems. Hence utilize the content provided in this article and score the highest marks in the exams.
Variable – Definition
In maths, a variable is an alphabetic character that expresses the value or number. A variable is used to represent the unknown number of unknown values. A variable is a value that can vary the expression or equation depending on the conditions.
Independent Variables and Dependent Variables
Depending and Independent Variables are the variables in maths. A cartesian plane or coordinate system is used for plotting the chain of points that shows the relationship between the independent variables and dependent variables. the x-axis shows the independent variables i.e, input values and the y-axis shows the output values of the dependent variables.
Compare and Contrast Independent Variables and Dependent Variables?
In coordinate geometry, the independent variables can be seen on the x-axis and comprise the input values. In short, we can say that the independent variable is an arbitrary input on the cartesian plane. Whereas the dependent variable is an arbitrary output on the cartesian plane i.e., on the y-axis. The dependent variables are found on the y-axis and include output values.
Examples of Independent Variables and Dependent Variables
Check out the below examples to know how to solve the problems on dependent variables and independent variables.
Example 1.
Find the independent variables of the equation 3y = 6x + 1
Solution:
Given that
3y = 6x + 1 is an algebraic expression
Here x is an independent variable.
Each value of x will be a different value of y.
Example 2.
Find the dependent variables of the equation y = 4x.
Solution:
Given that
y = 4x is an algebraic expression
Here y depends on x
So, if x = 1 then y = 4.
Example 3.
Find the variables of the equation 2x + 6 = 20
Solution:
Given that
2x + 6 = 20 is an algebraic expression
Here x is a variable
2 is the coefficient
6 and 20 are the constants.
Example 4.
Find the independent variables of the equation 4y = 5x + 3
Solution:
Given that
4y = 5x + 3 is an algebraic expression
Here x is an independent variable.
Each value of x will be a different value of y.
Example 5.
Find the dependent variables of the equation y = 7x.
Solution:
Given that
y = 7x is an algebraic expression
Here y depends on x
So, if x = 1 then y = 7.
FAQs on Correlation between Independent Variables and Dependent Variables
1. What is meant by Dependent Variables?
The dependent variable is a variable whose quality depends on another variable in its condition. If the estimation of the word variable is dependably said to be dependent on the free variable of math conditions.
2. What is meant by Independent Variables?
In an algebraic equation, an independent variable is related to a variable whose values are independent of changes. If x and y are two variables of an equation and every value of x is linked with any other value of y, then ‘y’ value is said to be a function of x value, it is known as an independent variable, and therefore ‘y’ value is known as a dependent variable.
3. How do you write the independent and dependent variables in an equation?
y = a + bx
Here a and b are constant numbers.
x is the independent variable, and
y is the dependent variable. Therefore we choose a value to substitute for the independent variable and then solve for the dependent variable.