Provide the definitions of parallel and perpendicular lines, as well as the relationships between their slopes. Two examples explain the process of finding the equation of either a perpendicular or parallel line to another line through a given point. The graphed lines help visually demonstrate their relationship to each other.

Concepts

parallel lines, perpendicular lines, slope, point-slope form, slope-intercept form, opposite, reciprocals, coordinate plane

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Additional Tags

math

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Instructional Ideas

• Give class members several pairs of lines and have them determine whether the pairs are parallel, perpendicular, or neither
• Provide the graph of line that makes one side of a rectangle and have pupils determine the equations for the other three sides

Classroom Considerations

• The resource does not cover the proof portion of the standard, but it does address use of the slopes of parallel and perpendicular lines

• This video is hosted on YouTube

Pros

• Explanations use color coding to help highlight where values are substituted
• Examples go through each step in converting from point-slope form to slope-intercept form

Cons

• None

Common Core

HSG-GPE.B.5