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GB-23-06-001 · Parallel lines

Show that the lines y=5x−12y=5x - 12 and 2y=10x−62y=10x - 6 are parallel.

Coordinate Geometry: Parallel Lines Booklet p. 79 & p. 82
Method
1) Rearrange both equations into y = mx + c form
2) Compare gradients: parallel lines have equal gradients m
Worked Example (GB-23-06-001)
1)
Divide the second equation by 2.
2)
Both gradients are 5, with different intercepts.
Ans = Both have gradient 5.