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Parallel Lines

This video presents the same text shown beside it, spoken and on screen. It adds nothing the text does not say.

State

Parallel lines have equal slopes and different y-intercepts; equal steepness with no shared point keeps them apart forever.

Show

y = 2x + 1 and y = 2x − 4 both climb at slope 2, always 5 apart vertically — they never meet.

Watch for

Same slope and same intercept is one line, not two.

Builds on

  • Nothing — this is a starting point.

Unlocks

  • Nothing yet depends on this.