(I) The given line is \[x/2\text{ }+\text{ }y/3\text{ }=\text{ }0\]

Subbing \[x\text{ }=\text{ }2\text{ }and\text{ }y\text{ }=\text{ }3\]in the given condition,

\[L.H.S\text{ }=\text{ }2/2\text{ }+\text{ }3/3\]

\[=\text{ }1\text{ }+\text{ }1\text{ }=\text{ }2\text{ }\ne \text{ }R.H.S\]

Thus, the given assertion is bogus.

(ii) The given line is \[x/2\text{ }+\text{ }y/3\text{ }=\text{ }0\]

Subbing \[x\text{ }=\text{ }4\text{ }and\text{ }y\text{ }=\text{ }-\text{ }6\] in the given condition,

\[L.H.S\text{ }=\text{ }4/2\text{ }+\text{ }\left( -\text{ }6 \right)/3\]

\[=\text{ }2\text{ }-\text{ }2\text{ }=\text{ }R.H.S\]

Henceforth, the given assertion is valid.