Linear Equation Graph Calculator | Free Online Linear Equation Graph Calculator with Steps - BYJUS

# Linear Equation Graph Calculator

The linear equation graph calculator is an online tool that displays the x-intercept of the equation. This calculator tool from BYJU’S displays the desired result in a fraction of a second....Read MoreRead Less

## Online Linear Equation Graph Calculator

### How to use the linear equation graph calculator?

1. Start off by entering the linear equation into the given input field.
2. Click on “Solve” to obtain the result.
3. Finally, the output field will display the x-intercept and the y-intercept of the equation.
4. You can check “Show steps” to understand the steps followed to get the answer.
5. Analyze the graph to understand how the coordinates have been plotted.
6. Also explore more by clicking “Example” to view various equations and their corresponding graphs.

### What is a linear equation ?

A linear equation is defined as an equation with a degree of one. When this equation is graphed, we can see that it will always take the shape of a straight line.

### What is a linear equation in one variable ?

A linear equation in one variable is a single-variable equation. Ax + B = 0 is the standard form of a linear equation in one variable where x is the variable, A its coefficient, and B is a constant in this equation.

### What is a linear equation in two variable ?

A two-variable equation is called a linear equation in two variables. A linear equation in two variables written in the standard form is Ax + By = C where x and y are variables, A and B are coefficients, and C is a constant.

### What is the solution of an equation? How are they represented on a graph?

A solution is a value or a set of values when substituted for the unknown, makes the equation true.

Each value or set of values will act as a point on the line of the graph. This means that each ordered pair of that line is a solution of the equation.

### What is x-intercept?

The x coordinate of the point at which a line crosses the x-axis is the x intercept. On the x axis there is no y coordinate. Hence, to find the x intercept of an equation without drawing the graph, we just need to substitute the value of y as zero, the resulting x value is the x intercept.

### Solved Examples

Example 1: Solve the equation 3x + 9 = 0

Solution:
Step 1: Make a table of values.

x

y = 3x + 9

y

(x, y)

-1

y = 3(-1) + 9

6

(-1, 6)

0

y = 3(0) + 9

9

(0, 9)

1

y = 3(1) + 9

12

(1, 12)

Step 2: Plot the ordered pairs.

Step 3: Now through these points, draw a straight line.

Example 2: Draw the graph of y = 2x + 4

Solution:

Step 1: Make a table of values.

x

y = 2x + 4

y

(x, y)

-1

y = 2(-1) + 4

2

(-1, 2)

0

y = 2(0) + 4

4

(0, 4)

1

y = 2(1) + 4

6

(1, 6)

Step 2: Plot the ordered pairs.

Step 3: Now through these points, draw a straight line.