Equations of Parallel and Perpendicular Lines
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Objective
I can write an equation for a parallel or perpendicular line given another line and a point
Part 1 of 4
Warm-up video
Tyler Wallace · 5:00
We don't generate video — this one is by Tyler Wallace on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 4
Key concepts
3 concepts
- 1
Parallel lines have the same slope, while perpendicular lines have opposite reciprocal slopes.
- 2
The point-slope equation, which is y - y₁ = m(x - x₁), can be used to find the equation of a line if you know the slope and a point on the line.
- 3
To find the equation of a parallel or perpendicular line, first identify the slope of the given line, then determine the slope of YOUR line. (Remember: you will need the SAME slope for parallel lines and the opposite reciprocal slope for perpendicular lines). Finally, use the point-slope equation to find the new equation.
Part 3 of 4
Practice
12 questions
What is the relationship between the slopes of parallel lines?
What is the relationship between the slopes of perpendicular lines?
Part 4 of 4
Exit ticket
Quick comprehension check
“Write the equation of a line that is perpendicular to the line y = -5x + 3 and passes through the point (5, -2).”
Sample answer included in the free materials
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Student Handout
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