# Linear Functions

### Instructions

- 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.

### Concepts

- 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

### Exercises

**Directions:**You should attempt to solve the problems first and then watch the video to see the solution.

- Write the equation of the line through the points \((2,4)\) and \((6,1).\)