Geometry · Coordinate Geometry

Parallel Slopes

HSG-GPE.B.5

Definition

Parallel lines have the same slope and never intersect.

Examples

  • Two non-vertical lines are parallel if and only if they have equal slopes, m1 = m2.
  • A line with slope 3 is parallel to any other line with slope 3.

Key rule

Equal slopes always mean two non-vertical lines are parallel.

Memory hook

Same slope, lines that never meet.