8adv.MATH.2.E
Write the equation of a line that contains a given point and is parallel 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
equationlinegiven pointparallel line
Skills
- write (the equation of a line containing a given point and parallel to a given line) #dok2
- identify (the slope of a given line) #dok1
- apply (the concept of parallel lines to linear equations) #dok2
- use (point-slope and slope-intercept forms to write equations) #dok2
Learning Targets
- I can identify the slope of a given line. #dok1
- I can use a given point and a known slope to write the equation of a line. #dok2
- I can explain why parallel lines have the same slope. #dok3
- I can write the equation of a line that passes through a given point and is parallel to another line. #dok2
- I can justify my choice of equation based on parallel slope relationships. #dok3
Big Ideas
- Parallel lines in the coordinate plane always have the same slope but different y-intercepts.
- Writing equations of lines using relationships such as parallelism builds understanding of linear functions and their properties.
Essential Questions
- How can you determine if two lines are parallel by looking at their equations?
- What steps do you follow to write the equation of a line through a given point and parallel to a given line?
- Why do parallel lines have the same slope?
- How does changing the y-intercept affect the relationship between two parallel lines?