Forms of Linear Equations
Students learn about the different forms of linear equationsCopyright 2004 Microsoft Corporation, One Microsoft Way, Redmond, WA 98052-6399 USA. All rights reserved.
Students learn about four forms of equations: direct variation, slope-intercept form, standard form and point-slope form. They graph and complete problem sets for each, converting from one form of equation to another, and learning the benefits and uses of each.
The idea of slope as the rate of change is essential to understanding how lines are graphed. Engineers must be able to create and also understand graphs that can explain sets of data. Mechanical engineers read and understand graphs that show displacement, velocity and acceleration to then analyze data from testing sites to learn how to design their products (such as cars and airplanes) to be more efficient and safe. In journal questions 5-6 of the summary assessment, students think as engineers, considering the meaning of key data points and the purpose of using lines to model data.
After this lesson, students should be able to:
- Distinguish between different forms of equations, including direct variation, slope-intercept form, standard form and point-slope form.
- Explain what is meant by the term equivalent equations.
- Convert from one form of equation to another.
- Tell when each form is useful and how to graph using each form.
- Use the slope of a parallel or perpendicular line along with a point on the line to write the equation of the line in any of the three main forms.