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# Graphing Linear Relations And Functions

A Set of Ordered Pair is known as relation.
Suppose we have (2, 5), (-3, 4), (12, -5), (5, 7), (0, 5), (6, 9), (1, 6);
The value lies on x – axis and it is known as Domain of given set and the value of y – axis is known as range of a set.
So in these values 2, -3, 12, 5, 0, 6, 1 are the domain of a set.
5, 4, -5, 7, 5, 9, 6 is range of a set.
Function is set of order pair in which one element of domain is exactly mapped with one element of range.
Now we see how we plot the graphs of linear Functions.
Step 1: First we take some function.
Step 2: Then we know that the values present in the domain are plotted towards the x – axis.
Step 3: And range value is plotted towards the y – axis.
Step 4: At last we join all the points in a graph.
Suppose we have (2, 3), (3, 4), (5, 6);
In these values 2, 3, 5 is the domain of the function. 3, 4, 6 is The Range of the function. So when we plot graph then the domain values are plotted towards the x – axis and range value towards the y – axis.
For Graphing linear Relations we follow the steps which are given below:
Step 1: In the relation the domain values are plotted towards the x – axis.
Step 2: The range value is plotted towards the y – axis.
Step 3: At last we join the points with a line and we get a graph of relation.
With the help of these steps we can easily plot the graph of relation and function.
This is the process of graphing linear functions.

## Linear Inequalities

Linear inequalities can be defined as expressions which include Combination of variables and constants as well as operators. Since it is an inequality it must contain either a greater than sign or a less than sign. These signs are represented as ‘<’ and ‘>’. It can also include less than equal and greater than equal, these are also included in inequalities. An inequa...Read More

## Linear Equations with Two Variables

Linear Equations with two variables are expressions in mathematics that consist of two unknown quantities in same equation and we need at least one more such equation to solve for unknowns. On substituting the values of variables in the equation we get the value of complete expression. These lines can be plotted on Cartesian plane by finding out the c...Read More

## Slope in Linear Function

Slope can be defined as a number that explains inclination of line which is going up or down. Slope is normally denoted by letter ‘m’. If line is going up that is if we are going from left to the right and during this movement, we go up then it will be said positive slope. If slope of line is going down that is we are going from right to left and coming down, it will be called as ...Read More

## Linear Equations with One Variable

A system of Linear Equations can be defined as two or more linear equations which can be solved simultaneously. While solving linear equations Algebra 2 there are three possibilities of solutions:

1.               one solution
2.               no solution
3.               infinite solution
Let’s have small introduction about solutions.

## Special Functions

Special Functions are mathematical functions that have one or more than one names. Special functions have many different names which are acceptable in mathematics. There is no specified definition of special functions; we can denote the special functions in many ways.

There is a list of functions that are accepted as special functions. Elementary functions are also ...Read More

## Writing Linear Equations

Linear equation is an algebraic function which consists of Cartesian coordinates x and y on plane. Linear equation with x and y coordinates gives a straight line when drawn on graph. We can draw the line on graph by placing the value of x and y coordinates on graph. Let us see standard form of writing a linear equation:
Steps for writing Linear Equations are: