A linear function is an equation that represents a relationship between two variables, most commonly called x and y. It is called linear because it can be graphed as a straight line in the xy-plane.
Creating a linear function requires writing a function that describes a given word problem without solving it.
Finding the value of a function requires solving a function given the values of its variables.
Finding the input that corresponds to a given output requires to calculate the input of a function given the value of the output.
Interpretation of a linear function includes analyzing a linear function in its slope-intercept form: y=mx+b (rewriting the function from its standard form ax+ty=c, calculating the slope and the intercept of the function and analyzing of the graph of the function).
Finding the equation of a linear function requires to write the equation of a linear function y=mx+b given the values of its points or its slope b.
Graphic presentation of a linear function requires identifying a graph of a given linear function or finding the equation of a linear function given its graph.
Analyzing relationships between two linear functions includes finding the slope of a linear function given the slope of another function or finding the equation of a linear function given the equation of another function.
The formula sheet for linear functions is listed below.