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-a4bfada475ef4c3720ffb7099a53e038_l3.png "Rendered by QuickLaTeX.com")
(i) On subbing
![\[x\text{ }=\text{ }-\text{ }5\text{ }and\text{ }y\text{ }=\text{ }0\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-f74ee4e2f96c9202f854860ff6f4d1a0_l3.png "Rendered by QuickLaTeX.com")
in the given line condition, we have
![\[L.H.S.\text{ }=\text{ }-\text{ }5\text{ }\text{ }2\left( 0 \right)\text{ }+\text{ }5\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-3cb6a6ced7f71064ba11bd6bcfee6fec_l3.png "Rendered by QuickLaTeX.com")
![\[=\text{ }-\text{ }5\text{ }\text{ }0\text{ }+\text{ }5\text{ }=\text{ }5\text{ }\text{ }5\text{ }=\text{ }0\text{ }=\text{ }R.H.S.\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-c9e7aff0480d2beaa18bf672b219bbb1_l3.png "Rendered by QuickLaTeX.com")
Thus, the point
![\[\left( -\text{ }5,\text{ }0 \right)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-8a9457fe5e5a66ec7664e63e30f4ea0e_l3.png "Rendered by QuickLaTeX.com")
lies on the given line.
(ii) On subbing
![\[x\text{ }=\text{ }5\text{ }and\text{ }y\text{ }=\text{ }5\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-8aab138dfb2d91f322469d8f86f9593e_l3.png "Rendered by QuickLaTeX.com")
in the given line condition, we have
![\[L.H.S.\text{ }=\text{ }5\text{ }\text{ }2\left( 5 \right)\text{ }+\text{ }5\text{ }=\text{ }5\text{ }\text{ }10\text{ }+\text{ }5\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-6e314c82911a7f9c072945c53745d389_l3.png "Rendered by QuickLaTeX.com")
![\[=\text{ }10\text{ }\text{ }10\text{ }=\text{ }0\text{ }=\text{ }R.H.S.\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-52df314b8e7d79b03226c67a685620ac_l3.png "Rendered by QuickLaTeX.com")
Henceforth, the
![\[point\text{ }\left( 5,\text{ }5 \right)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-78fe8bfa77dbe7d2b4a63cbea95638f9_l3.png "Rendered by QuickLaTeX.com")
lies on the given line.