linear function
A linear function is a type of mathematical function that describes a relationship between two variables in a straight line
A linear function is a type of mathematical function that describes a relationship between two variables in a straight line. It can be represented using the equation:
y = mx + b
In this equation, “m” represents the slope of the line, which determines how steep the line is. The slope describes how much the dependent variable (y) changes for every unit change in the independent variable (x).
The term “b” represents the y-intercept, which is the point where the line intersects the y-axis. It gives the initial value of y when x is equal to zero.
Linear functions are characterized by having a constant rate of change throughout the entire line. This means that for any two points on the line, the ratio of the change in y to the change in x will always be the same.
Linear functions have various applications in mathematics and real-life situations. They can be used to model relationships between variables such as distance and time, temperature and elevation, or cost and quantity. By analyzing the slope and intercept, linear functions can provide valuable insights and predictions about the behavior of the variables they represent.
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