ALG1.MATH.2.E
Write the equation of a line that contains a given point and is parallel 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
equationlinepointparallel line
Skills
- write (equation of a line containing a given point and parallel to a given line) #dok2
- identify (the slope of a given line to use when writing a parallel line's equation) #dok1
- substitute (a given point into the equation to solve for the y-intercept) #dok2
- represent (the equation using appropriate linear forms) #dok2
Learning Targets
- I can identify the slope of a given line. #dok1
- I can recall that parallel lines have the same slope. #dok1
- I can write the equation of a line in the form y = mx + b. #dok1
- I can write the equation of a line that passes through a given point and is parallel to a given line. #dok2
- I can use a given point to solve for the y-intercept in a linear equation. #dok2
- I can justify why the slopes of parallel lines are equal. #dok3
- I can explain the process for finding the equation of a parallel line given a point and another line. #dok3
Big Ideas
- Parallel lines have the same slope but different y-intercepts unless they are the same line.
- You can create the equation of a line parallel to a given line by using the original line's slope and a new point.
Essential Questions
- How can you determine the slope of a line from its equation?
- Why do parallel lines share the same slope?
- How do you find the equation of a line that is parallel to a given line and that passes through a specific point?
- What steps are necessary to ensure the new line is truly parallel to the original?
- In what real-world situations might you need to write the equation of a parallel line?