Practice Objectives
- Demonstrate the ability to determine if two lines are parallel
- Demonstrate the ability to determine if two lines are perpendicular
- Demonstrate the ability to write the equation of a line in standard form
Practice Working with Parallel and Perpendicular Lines
Instructions:
Answer 7/10 questions correctly to pass.
Problem:
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Determine if Two Lines are Parallel or Perpendicular:
- Find the slope of each line
- If the slopes are the same, the two lines are parallel
- If the slopes have a product of -1, the lines are perpendicular
Write the Equation of a Line in Standard Form:
- Use the given information to obtain the slope
- Parallel lines have the same slope
- Perpendicular lines have slopes whose product is -1
- Use the given point and the slope from the previous step and plug into point-slope form
- Place the equation in standard form
- ax + by = c, a ≥ 0
- a, b, and c are integers
- The GCF of a, b, and c is 1
Step-by-Step:
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$$ax + by = c$$
a =
b =
c =
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