8adv.MATH.2.F

Write the equation of a line that contains a given point and is perpendicular to a given line.

Grade 8 (Advanced) · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

Standard Unwrapping

AI-generated as a starting point — sign in to edit.
Vocabulary
equationlinepointparallel lineperpendicular line
Skills
  • write the equation of a line containing a given point and parallel to a given line #dok2
  • write the equation of a line containing a given point and perpendicular to a given line #dok2
  • determine parallel and perpendicular relationships between lines #dok2
  • use slope to establish parallelism or perpendicularity between lines #dok1
Learning Targets
  • I can use the slope of a given line to determine the slope of a parallel line. #dok1
  • I can use the slope of a given line to determine the slope of a perpendicular line. #dok1
  • I can calculate the equation of a line passing through a given point and parallel to another line. #dok2
  • I can write the equation of a line through a point and perpendicular to a given line. #dok2
  • I can justify why two lines are parallel or perpendicular by referring to their slopes. #dok3
Big Ideas
  • Parallel and perpendicular lines have predictable, mathematically determined relationships based on their slopes.
  • Equations of lines can be constructed to satisfy specific conditions using properties of parallelism and perpendicularity.
Essential Questions
  • How do you determine if two lines are parallel or perpendicular using their equations?
  • What information do you need to write the equation of a line through a given point that is parallel to another line?
  • How does the slope of a line affect its orientation and its relationship to other lines?
  • Why is it important to understand parallel and perpendicular lines in real-world contexts?
  • What are the steps to writing the equation of a line that is perpendicular to a given line?