y = x
The equation y = x represents a linear relationship between two variables, y and x
The equation y = x represents a linear relationship between two variables, y and x. It is a simple and fundamental equation in mathematics.
In this equation, x is the independent variable, and y is the dependent variable. This means that the value of y depends on the value of x.
When plotted on a graph, this equation produces a straight line passing through the origin (0,0) with a slope of 1. This means that for each unit increase in x, there will be a corresponding unit increase in y.
For example, if x = 2, then y = 2. If x = 5, then y = 5. The values of x and y will always be the same in this equation, as they represent the same quantity.
This equation is often used to represent proportional relationships, where the ratio of y to x remains constant. For example, if y represents the cost of an item and x represents the number of items purchased, the equation y = x would indicate that the cost is directly proportional to the number of items.
In summary, the equation y = x represents a linear relationship with a slope of 1, indicating a direct proportionality between the independent variable x and the dependent variable y.
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