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Linear Graphs
Linear Graphs A linear graph is a visual representation of a relation between two variables. In simpler terms, it's a set of ordered pairs, where each po...
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Linear Graphs A linear graph is a visual representation of a relation between two variables. In simpler terms, it's a set of ordered pairs, where each po...
A linear graph is a visual representation of a relation between two variables. In simpler terms, it's a set of ordered pairs, where each point on the graph represents a specific value of the two variables.
Imagine a straight line with points plotted on it. Each point on the line corresponds to a specific value of the two variables. The slope of the line tells you how quickly the values change with respect to each other. A positive slope means the values increase as the variables increase, while a negative slope means the values decrease as the variables increase.
Here are some characteristics of linear graphs:
They are straight lines that pass through a fixed point called the origin.
The slope of a linear graph is a constant, regardless of the values of the variables.
A linear graph can represent a variety of relationships between two variables, such as linear relationships, quadratic relationships, and exponential relationships.
Examples:
The relationship between the temperature and the speed of a car is linear.
The relationship between the price and the demand for a product is non-linear.
The relationship between the age and the height of a person is also linear, but not perfectly so.
Linear graphs can be used to model real-world phenomena, such as the relationship between the price of a stock and the current market conditions, or the relationship between the speed of a car and the road conditions.
By understanding linear graphs, we can better understand how to analyze and interpret data, and make predictions based on real-world relationships