Mathematics — first biennium · Lesson
Comparing slopes lets you recognize parallelism and perpendicularity before finding any intersection.
Prerequisites: Line equations and geometric parallelism
Goal: Compare lines through slopes and recognize their relations.
In this lesson: Compare lines through slopes and recognize their relations.
New concept: The midpoint is obtained by averaging the x-coordinates and y-coordinates separately. The distance between two points comes from Pythagoras applied to the horizontal and vertical differences.
How to proceed: Compare slopes first: equal means parallel (or coincident); product −1 means perpendicular.
You can already assume: Line equations and geometric parallelism.
Completed exercises: 0/5 · Correct on first attempt: 0
Compare slopes first: equal means parallel (or coincident); product −1 means perpendicular.
Data / situation: r: y=-3x-1; s: y=1/3x+1
ConceptStep separates what is required from what is recommended or useful as reinforcement. Only required prerequisites block your progress.
Relationships: solid line = required · dashed line = recommended · dotted line = reinforcement.