Linear Functions Review

A linear function is a function that can be graphically represented as a straight line. It has the form $$f(x) = mx + b$$ , where $$m$$ is the slope and $$b$$ is the y-intercept.

The slope of a linear function represents the rate of change of the function. It indicates how much the y-value changes for a one-unit increase in the x-value.

The y-intercept is the value of $$f(x)$$ when $$x = 0$$ . It is represented by $$b$$ in the equation.

The slope $$m$$ can be calculated using the formula: $$m = \frac{y2 - y1}{x2 - x1}$$ .

The standard form of a linear equation is $$Ax + By = C$$ , where $$A$$ , $$B$$ , and $$C$$ are integers, and $$A$$ should be non-negative.

The rate of change refers to the slope of the linear function, indicating how much the output value changes for a unit change in the input value.

The 105 represents the one-time fee for the car rental.

The x-intercept is the point where the graph of the function crosses the x-axis, indicating the value of $$x$$ when $$f(x) = 0$$ .

The y-intercept can be determined by identifying the constant term, which is 90 in this case.

The graphical representation of a linear function is a straight line on a coordinate plane.