ALG1.MATH.2.F
Write the equation of a line that contains a given point and is perpendicular to a given line.
Algebra I · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
equationlinepointgiven pointperpendicular line
Skills
- write (the equation of a line given a point and perpendicular line) #dok2
- determine (the slope of a perpendicular line) #dok2
- apply (the concept of perpendicular slopes) #dok2
- substitute (points into linear equations) #dok1
Learning Targets
- I can identify the relationship between the slopes of perpendicular lines. #dok1
- I can find the slope of a line that is perpendicular to a given line. #dok2
- I can substitute a point into the equation of a line. #dok1
- I can write the equation of a line given a point and a perpendicular line. #dok2
- I can explain the process for creating an equation of a line perpendicular to a given line through a specific point. #dok3
Big Ideas
- The slope of a line perpendicular to another line is the negative reciprocal of the original slope.
- Given a point and a perpendicular relationship, you can uniquely determine the equation of a line.
Essential Questions
- How do you find the slope of a line perpendicular to another line?
- What steps are needed to write the equation of a line given a point and a perpendicular line?
- Why is it useful to know how to write the equation of a perpendicular line in real-world situations?
- How can you check if your equation represents a line perpendicular to the given line?
- What mistakes might occur when finding slopes of perpendicular lines, and how can you avoid them?