Lesson Plan

There is Only One Line Passing Through a Given Point with a Given Slope

Curated and Reviewed by Lesson Planet

Prove that an equation in slope-intercept form names only one line. At the beginning, the teacher leads the class through a proof that there is only one line passing through a given point with a given slope using contradiction. The 19th part of a 33-part unit shows pupils how to graph a line in slope-intercept form. 

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CCSS: Designed
Additional Tags
Instructional Ideas
  • Lead a discussion about the number of lines that can have the same slope and the number of lines that pass through a given point
Classroom Considerations
  • Assumes learners can find the slope of a line
  • Slope is calculated using the ratio of sides of similar triangles
  • Lesson provides the final concept needed to show the graph of a linear equation is a line
Pros
  • Includes alternative problems rather than use the proof
  • The exit ticket requires pupils to analyze the work of fellow classmates
Cons
  • None
Common Core