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Not your average video:
Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.
Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.
Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.
Cartesian plane & lines
Watch comprehensive video reviews for Cartesian plane & lines, designed for final exam preparation. Each video includes integrated problems you can solve alongside detailed solutions.
Not your average video:
Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.
Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.
Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.
Not your average video:
Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.
Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.
Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.
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SL Core 2.1
Suppose we have the straight lines y=3x−2 and y=2−3x. Where do the lines intersect?
Lines intersect when they have a point in common. That is, for some x:
Rearranging gives
If two lines do not intersect, then they must be parallel, since the definition of parallel is two straight lines that never meet.
If two lines are the same (possibly in different forms), then their intersection will all real numbers.
SL Core 2.1
Suppose we have the straight lines y=3x−2 and y=2−3x. Where do the lines intersect?
Lines intersect when they have a point in common. That is, for some x:
Rearranging gives
If two lines do not intersect, then they must be parallel, since the definition of parallel is two straight lines that never meet.
If two lines are the same (possibly in different forms), then their intersection will all real numbers.