Line intersections and perpendicular bisectors
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How to find intersection of two lines algebraically?
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All Flashcards in Topic 3.5
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3.5.14 cards
How to find intersection of two lines algebraically?
Set equations equal (or solve simultaneous equations).
Substitution or elimination both valid.
What indicates parallel lines in y=mx+c form?
Same gradient m, different intercept c.
Parallel lines do not meet.
What indicates coincident lines?
Same gradient and same intercept.
Infinitely many intersection points.
IB context for line intersection?
Break-even point or equal-cost point in models.
Interpret x and y in context.
3.5.24 cards
Define perpendicular bisector of segment AB.
Line through midpoint of AB and perpendicular to AB.
Points on it are equidistant from A and B.
Perpendicular gradient rule?
If gradient is m, perpendicular gradient is -1/m.
Except horizontal/vertical special case.
Why is midpoint essential in bisector equation?
Bisector must pass through midpoint of original segment.
Use midpoint as anchor point in line equation.
Link between bisectors and Voronoi edges?
Voronoi boundaries are perpendicular bisectors between sites.
This connects 3.5.2 to 3.6.
Topic 3.5 study notes
Full notes & explanations for Line intersections and perpendicular bisectors
Math AI SL exam skills
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