Equation of a Line Calculator is a free online tool that displays the equation of a line when the slope value and the Y-intercept values are given. CoolGyan’S online equation of a line calculator tool makes the calculations faster, and the equation is displayed in a fraction of seconds.

## How to Use the Equation of a Line Calculator?

The procedure to use the equation of a line calculator is as follows:

**Step 1:** Enter the slope value and the y-intercept value in the given input field

**Step 2:** Click the button “Solve” to get the line equation

**Step 3:** The line equation will be displayed in the output field

### What is the Equation of a Line?

A line is defined as the one-dimensional figure that has no thickness. It extends infinitely in both directions. In the coordinate system, a straight line is described using the standard equation. The standard form is known as the equation of a line. If the slope and the intercept values are given, the equation of a line can be found easily. So, it is also known as the slope and intercept form.

### Standard Form

The standard form to represent the equation of a line is as follows:

**Equation of a Line, y = mx + b**

Where

“m” is the slope of the line

“b” is the y-intercept

## Frequently Asked Questions on Equation of a Line Calculator

### How to find the slope of a line?

The slope of the line defines the direction of the line. Thus, to find the slope of a line, divide the difference of y coordinate points by the difference of x coordinate points. Thus, the formula to find the slope of a line is given as:

Slope, m = [y_{2} – y_{1}]/[x_{2} – x_{1}] = Rise/Run

### What are the different forms of a linear equation?

The three different forms of linear equations are:

- Standard Form: Ax + By= C
- Slope Intercept Form: y= mx + b
- Point Slope Form: y -y
_{1}= m (x – x_{1})

### What is the equation of the horizontal line?

We know that the slope-intercept form of a line is y = mx+b. For the horizontal line, the slope value is zero (i.e., m=0). Thus, the equation becomes y = b. Here, b is the y-intercept