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Linear Equation

This article describes the linear equation.

What Is The Linear Equation?

The linear equation is: -

y = mx + c

In the above code: -

Parameter	Description
m	Weight (or slope). It controls how much y changes when x changes.
c	Bias (or intercept).

Example

Consider the following table: -

x	m	y = mx + c
1	2	2
2	2	4
3	2	6
4	2	8

The line graph of the above table is: -

Picture showing the line graph of linear equation

Real-Time Example Of Linear Equation

Consider an example where you want to calculate the distance travelled. So, the formula is: -

Distance = (Speed X Time) + Initial Position

The problem statement is: A car is moving at 60 km/h, starting 10 km ahead. What is the distance covered in 1 hour?

Distance = (60 X 1) + 10 = 70 Km.

Bias (Or Intercept Or Starting Point)

If you consider the graph above, the intercept specifies – what will be the value of y when x = 0? In the previous example, the initial position from which the car starts is also referred to as the bias.

The terminology bias, intercept, or starting point refers to the same parameter.

Posted By -	Karan Gupta

Posted On -	Wednesday, October 8, 2025

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