Understanding Linear Functions | Analyzing the Equation y = x – 2

y = x – 2

The given equation is y = x – 2

The given equation is y = x – 2.

This equation represents a linear function, where the value of y is determined by the value of x. In this case, the value of y is equal to x minus 2.

To understand this equation further, let’s analyze its different components:

– The variable x represents the input values or independent variable. It can take any real number as its value.
– The expression x – 2 is the function rule or equation. It shows how the input values are related to the output values.
– The constant term -2 is the y-intercept, which is the point where the graph of the equation intersects the y-axis. In this case, the graph will have a y-intercept of -2, meaning that when x = 0, y = -2.
– The coefficient of x is 1 in this equation, indicating that for every unit increase in x, y will increase by 1. This means that the graph will have a slope of 1, which is the rate of change.

The graph of this linear equation will be a straight line that passes through the y-intercept (-2) and has a slope of 1.

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