(a) State the relation between the slopes of two distinct non-vertical straight lines…
MATHEMATICS · Subjective · A Level · Mathematics · Coordinate geometry in the (x y) plane · Coordinate geometry in the (x y) plane
Problem
(a) State the relation between the slopes of two distinct non-vertical straight lines that are parallel.
(b) Show that if two non-vertical straight lines in the Cartesian plane have slopes m1 and m2 satisfying m1m2=−1, the lines are perpendicular to each other. Give complete mathematical justification without using any numerical example.