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Show that the line (i) through (0,0) a...

Show that the line
`(i)` through `(0,0)` and `(2,3)` is parallel to the line through `(2,2)` and `(4,5)`
`(ii)` through `(-2,6)` and `(4,8)` is perpendicular to the line through `(8,12)` and `(4,24)`
`(iii)` through `(2,-3)` and `(-1,2)` is perpendicular to the line joining `(3,7)` and `(-2,4)`.

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