# Linear Graph

A graph is a diagram that depicts a link or relationship between two or more quantities. Linear refers to straight lines. So, alinear graph is nothing more than a straight line or graph drawn on a plane linking points on x and y coordinates. Linear graphs are also called line graphs. Vertical line graphs, horizontal line graphs, simple line graphs, numerous line graphs, and compound line graphs are the five forms of line graphs. In order to study and predict future markets and possibilities, linear graphs are employed. They’re also utilized in medical and pharmacy to figure out how strong medicines should be, as well as in government budget analysis and planning.

Linear graphs are those in which a straight line represents the relationship between two measurements on a graph. In statistics, line graphs are frequently used to depict the change in one quantity in relation to another. In most cases, this variance is represented in a two-dimensional XY plane. As a result, a linear graph is commonly used to describe a line graph.

## Linear Graph Equation

The linear graph, as we all know, is a straight line that represents the following equation.

y=px +q,

The graph’s gradient is represented by ‘p,’ and the graph’s y-intercept is represented by ‘q.’

Any two points drawn on a linear or straight-line form the gradient between (x1, y1) and (x2, y2).

The ratio of the difference between the y-coordinates and the x-coordinates is the value of gradient p.

p= (y₂-y₁)(x₂ – x₁)

Or

y-y₁= p (x – x₁)

The linear equation can also be written as,px + qy + r= 0 where p,q,r are constants

## Types of Linear Graphs

The following sections describe five different types of line graphs.

• Vertical Line Graph: A vertical line goes from top to bottom parallel to the y-axis in a vertical line graph.
• Horizontal Line Graph: From left to right, a horizontal line runs parallel to the x-axis.
• Simple Line Graph: A simple line graph is one in which only one line is drawn on the graph. The line could be horizontal, vertical, or sloped in some way.
• Multiple Line Graph: A multiple line graph is one in which more than one line is drawn on the graph.
• Compound Line graph: When information is separated into two or more data types, the line graph is called a compound line graph.

## The following are some examples of real-life applications of the straight-line graph:

• Straight-line graphs can be used to describe future contract markets and scenarios.
• In medicine and pharmacy, a straight-line graph is used to determine the precise strength of medications.
• In the study process and the production of the government budget, straight-line graphs are used.
• In chemistry and biology, straight-line graphs are utilized.
• Straight-line graphs are used to determine if our body weight is suitable for our height. It is critical for veterinarians to deliver the proper medication dosage.
• House price data follows an almost straight line of growth and drop.
• Gaming console manufacturers keep a close eye on product market share.

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