# Linear Relationship

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## Definition of 'Linear Relationship'

In mathematics, a linear relationship is a relationship between two variables that can be expressed as a linear equation. A linear equation is an equation of the form y = mx + b, where m is the slope of the line and b is the y-intercept. The slope of a line is the ratio of the change in the y-coordinate to the change in the x-coordinate as you move along the line. The y-intercept is the value of y when x is 0.

In finance, a linear relationship can be used to model the relationship between two financial variables. For example, the relationship between the price of a stock and its earnings per share can be modeled as a linear equation. In this case, the slope of the line would represent the rate of return on the stock, and the y-intercept would represent the stock's intrinsic value.

Linear relationships are often used in financial modeling because they are simple to understand and easy to use. However, it is important to note that not all relationships between financial variables are linear. In some cases, the relationship may be nonlinear, which means that it cannot be expressed as a linear equation.

Here are some examples of linear relationships in finance:

* The relationship between the price of a stock and its earnings per share
* The relationship between the interest rate on a loan and the amount of the loan
* The relationship between the amount of money in a savings account and the interest rate on the account

These are just a few examples of the many linear relationships that can be found in finance. Linear relationships are often used in financial modeling because they are simple to understand and easy to use. However, it is important to note that not all relationships between financial variables are linear. In some cases, the relationship may be nonlinear, which means that it cannot be expressed as a linear equation.

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