# Graphing Linear Equations Calculator

Free Online Graphing Linear Equations Calculator will display the graph of the given equation in a fraction of a second. Provide the valid expression in the input box and hit on the calculate button to get the result for your given linear equation in the output field.

### What is Meant by Graphing Linear Equations?

Graphing Linear Equations represents the graph of the given linear equation. As it always results in the form of a straight line. We generally use the graphical form of representation to prove the relationship between two or more quantities. The graph of the linear equations with two variables is a line.

One of the most important concepts of algebra is Graphing Linear Equations. To graph the equation, it should be in the form of y = mx + b, also known as the y-intercept form, where m is the slope of the equation.

### Steps for Solving Graphical Linear Equations

Solving the linear equations graphically and represented in a coordinate plane is called graphical linear equations. The steps that should be followed to solve a linear equation using the graphical method are listed below:

- Firstly, ensure the given linear equation is in y-intercept form, ie., y = mx + b.
- Now, go with the trial and error method and find the value of (x,y) upto three pairs, which meet the linear equation.
- Calculate the x-intercept and y-intercept of the equation. Substitute the value of x=0 in the equation to find the y-intercept and its outcomes in x=a. For the sake of x-intercept, substitute the value of y=0 in the equation and result in y=c.
- As a result, the points are (a, 0) and (0, c). Now, put the value of x and y in a tabular form.
- In this step, you have to plot all the points on the graph.
- Now, it's time to join all the points and obtain the straight line representing the given linear equation graphically.

### Examples of Graphing Linear Equations

Draw the linear equation of 2x+y=7 graphically?

**Solution:**

Given equation is 2x+y=7

Rearrange the given linear equation in the form of y = mx + b ie., y = -2x + 7

You can find two solutions, corresponding to the x-intercepts and y-intercepts of the graph, by setting the first x=0 and then y=0.

When x=0, we get:

y = -2(0) + 7

y = 7

When y=0, we get:

-2x+7=0

-2x = -7

-x = -7/2

x = 3.5

The coordinates of the plane are (0, 7), (3.5, 0) for the given linear equation 2x+y=7. The graphical representation of the linear equation is shown below.

### FAQs on Graphing of Linear Equations Calculator

**1. How do you solve the system of equations by graphing calculator?**

To solve the equation by the graphing calculator, you need to enter the given linear equation in the input field and then click on the calculate/solve button to display the graph of the given linear equations in just a few seconds.

**2. What is the graph equation formula?**

The graph equation formula is y= mx + b. Where m is the slope of the line, y is the value of y (distance along the y-axis, which is the vertical axis) and x is the x value (the distance along the x-axis, which is the horizontal axis).

**3. What are the 3 methods to graph a Linear Equation?**

The following are the three methods to graph a linear equation:

- Using two points to plot the graph of a linear equation.
- Use the slope and y-intercept of a linear equation.
- Using the x- and y-intercepts of a linear equation.

**4. Which online calculator is best to graph linear equations? **

Linearequationscalculator.com is the trusted website that offers free online tools like Linear Equations Calculator, graphing linear equations calculator, and more for quick & accurate solutions.