Linear Function
A linear function is a mathematical function that can be represented by a straight line on a graph
A linear function is a mathematical function that can be represented by a straight line on a graph. It is also called a first-degree polynomial function.
The general form of a linear function is given by the equation y = mx + b, where m is the slope of the line and b is the y-intercept.
The slope is a measure of how steep the line is and indicates the rate at which the dependent variable (y) changes with respect to the independent variable (x). A positive slope means that y increases as x increases, while a negative slope means that y decreases as x increases. A slope of zero represents a horizontal line.
The y-intercept is the point where the line intersects the y-axis. It indicates the value of the dependent variable when the independent variable is zero.
To graph a linear function, you can start by plotting the y-intercept on the graph. Then, using the slope, you can find additional points by moving a certain number of units up or down and a certain number of units left or right from the y-intercept. Connecting these points will give you a straight line.
Linear functions have several applications in real-life situations. For example, they can be used to model relationships between variables in science, economics, and engineering. They can also be used to interpret data and make predictions.
When working with linear functions, it is important to understand concepts such as slope, y-intercept, and the equation of a line. You can use these concepts to solve problems, find patterns, and make predictions based on given information.
If you need help with specific problems or concepts related to linear functions, feel free to ask for more assistance.
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