In this chapter you learn about relations defined by y=mx+b. You will learn how to rewrite an equation given in the form Ax+By+C=0 in the form y=mx+b. You will learn to graph y=mx+b by using the point-slope method as well as how to write the equation of a line from the graph by determining the slope and the y−intercept.
To write the equation of a line, you must know the slope and the y−intercept of the line. In this chapter you will learn how to calculate the slope of a line from two given points on the line, from a given equation, from a point on the line and the y−intercept and from the relationship between special lines. In addition, you will learn how to determine the y−intercept of a line algebraically.
When these basic concepts have been mastered, you will learn how to determine the equation of lines that are parallel and perpendicular to the x and y axis or to other lines.
Finally, all of the concepts will be applied to problems that use linear functions as a model.
In this chapter you will do the following lessons:
- The Slope of a Line from a Graph or from Two Points
- The Equation of a Line in Slope-Intercept Form
- Graphing the Linear Functions y=mx+b; y=a; x=a
- Determining the Equation of a line from the Graph
- Parallel and Perpendicular Lines
- Linear Function as a Model