Coordinate Geometry - Parallel and Perpendicular Lines
Coordinate Geometry - Parallel and Perpendicular Lines
IP 3
Using an algebraic or a geometrical method, show that
- if two straight lines are parallel to each other, then they have the same gradient, or their gradients are undefined;
- if two straight lines are perpendicular to each other, then the product of their gradients equal to \(-1\), or they are respectively a horizontal line and a vertical line.
Solution:
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Answer:(a) Parallel lines have equal finite gradients or are both vertical. (b) Perpendicular lines have gradient product \(-1\) or form a horizontal–vertical pair (shown).
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