The first videos below explain the concepts in this section.
This page includes exercises that you should attempt to solve yourself. You can check your answers and watch the videos explaining how to solve the exercises.
The three forms of the equation for a line: slope-intercept form, point-slope form, and standard form
The basic properties of \(y=x\), the parent linear function, including the graph, domain, range, end behavior, slope, and \(y\)-intercept.
The four types of linear graphs (a positive slope, a negative slope, a horizontal line, and a vertical line) and the properties of their graphs including the domain, range, and end behavior and whether the graph is increasing or decreasing.
Writing the equation of a line through two given points
Kaden owns and operates a lemonade stand and is trying to find a model to predict their profits. Kaden knows that the weekly profit of the lemonade stand can be modeled by a linear function. Based on previous weeks, Kaden knows that selling 350 lemonades earns a profit of $375 for the week while selling 550 lemonades earns a profit of $875 for the week. Determine the linear profit function for Kaden's lemonade stand.