Given line condition is
![\[x\text{ }-\text{ }2y\text{ }+\text{ }5\text{ }=\text{ }0.\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-996e9a565c0f73d61deae4d3d6c3a363_l3.png "Rendered by QuickLaTeX.com")
(i) On subbing
![\[x\text{ }=\text{ }2\text{ }and\text{ }y\text{ }=\text{ }-\text{ }1.5\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-5d4eb1546ce04533fc0917ac28a02ae3_l3.png "Rendered by QuickLaTeX.com")
in the given line condition, we have
![\[L.H.S.\text{ }=\text{ }2\text{ }-\text{ }2\left( -\text{ }1.5 \right)\text{ }+\text{ }5\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-d7a49bbcc86bd8a96ee515a33213fd86_l3.png "Rendered by QuickLaTeX.com")
![\[=\text{ }2\text{ }+\text{ }3\text{ }+\text{ }5\text{ }=\text{ }10\text{ }\ne \text{ }R.H.S.\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-ccc55fb7cf817ff5b5e303fe2ffe0b51_l3.png "Rendered by QuickLaTeX.com")
Henceforth, the
![\[point\text{ }\left( 2,\text{ }-\text{ }1.5 \right)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-8e3ae23411aa0adf0435bc84007a1057_l3.png "Rendered by QuickLaTeX.com")
doesn’t lie on the given line.
(ii) On subbing
![\[x\text{ }=\text{ }-\text{ }2\text{ }and\text{ }y\text{ }=\text{ }-\text{ }1.5\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-56756eedc7d169f469e6334d2234a13b_l3.png "Rendered by QuickLaTeX.com")
in the given line condition, we have
![\[L.H.S.\text{ }=\text{ }-\text{ }2\text{ }-\text{ }2\left( -\text{ }1.5 \right)\text{ }+\text{ }5\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-5eeb2f928c0946e639f2b7a58e184d63_l3.png "Rendered by QuickLaTeX.com")
![\[=\text{ }-\text{ }2\text{ }+\text{ }3\text{ }+\text{ }5\text{ }=\text{ }6\text{ }\ne \text{ }R.H.S.\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-0adf77da4261187fcafe8aff27852225_l3.png "Rendered by QuickLaTeX.com")
Thus, the
![\[point\text{ }\left( -\text{ }2,\text{ }-\text{ }1.5 \right)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-ce39ea5203489b479c7d5404f9596111_l3.png "Rendered by QuickLaTeX.com")
doesn’t lie on the given line.