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# Linear Equations Formula

The linear equation is an algebraic equation which gives a straight line. Where each term is either a product of a constant or a constant and a single variable. It is equal to the product that is directly proportional to the other plus the constant. The origin of the name "linear" comes from the fact that the set of solutions of an equation forms a straight line in the plane.

The Linear equation formula is given by
Where, m determines the slope of that line, x and y are the variables and constant term b determines the point at which the line crosses the y-axis, otherwise known as the y-intercept, m is a constant.

Since terms of linear equations cannot contain products of distinct or equal variables, nor any power (other than 1) or other function of a variable, equations involving terms such as xy, x2, y1/3, and sin(x) are nonlinear.

 Related Calculators Calculator for Linear Equations Graph Linear Equations Calculator Linear Equation Calculator Online Linear Regression Equation Calculator

## Linear Equation Examples

Lets see some examples on linear equations:

### Solved Examples

Question 1: Solve for x: 5x + 6 = 11
Solution:

Given function is 5x + 6 = 11
5x = 11 - 6
x = $\frac{5}{5}$ = 1
$\therefore$ x = 1.

Question 2: Solve for x: 7x + (-9) = 12
Solution:

Given function is 7x + (-9) = 12
7x = 12 + 9
x = $\frac{21}{7}$ = 3
$\therefore$ x = 3

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