Linear Functions

Instructions

  • The introductory 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.
  • When you are done, you can use the graph to pick another section or use the buttons to go to the next section

Learning Objectives

  • 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 -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

Concept Video(s)

Exercises

1.

\(y=-\dfrac{3}{4}x+\dfrac{11}{2}\)

2.

Profit \(=P(x)=2.5x-500\)