A linear equation is an equation in which every variable has an exponent of 1, meaning that no variable in a linear equation has an exponent greater than 1. Linear equations can be written in different forms, including:

• Standard Form: In one variable, the standard form of a linear equation is of the form Ax + B = 0, where x is a variable, A is a coefficient, and B is a constant. In two variables, the standard form is of the form Ax + By = C, where x and y are variables, A and B are coefficients, and C is a constant.

• Slope-Intercept Form: In this form, the linear equation is written as y = mx + b, where m represents the slope and b represents the y-intercept.

• Point-Slope Form: In this form, the linear equation is written as y - y1 = m(x - x1), where m represents the slope and (x1, y1) represents a point on the line.

Linear equations can be used to represent relationships between variables and can be solved to find the value of the variable that makes the equation true. To solve a linear equation, one can use the inverse of the number that multiplies the variable, and multiply or divide both sides by it. The result is then simplified to get the variable value, which can be checked by plugging it back into the equation.