Linear Function
The graph is a straight line.
A linear function is a function that has a straight line as its graph. It is a type of function that can be represented in the form of y = mx + b, where m is the slope of the line, b is the y-intercept or the value of y when x = 0, and x and y are the variables.
The slope of a linear function indicates the rate at which y changes with respect to x. If the slope is positive, y increases as x increases, and if the slope is negative, y decreases as x increases. If the slope is zero, the line is horizontal, and if the slope is undefined, the line is vertical.
The y-intercept of a linear function represents its initial value or the value of y when x = 0. It is also the point where the graph of the function intersects the y-axis.
Linear functions have various applications in real life, such as in economics, physics, statistics, and engineering. They are commonly used to model relationships between two variables, such as the cost of production and the number of units produced, the distance traveled and the time taken, or the temperature and the pressure of a gas.
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