(i) Cutting off intercepts 3 and 2 from the axes.
Given:
![\[a\text{ }=\text{ }3,\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-841bf49fc2541b4c05cd08c463b4a58e_l3.png "Rendered by QuickLaTeX.com")
![\[~b\text{ }=\text{ }2\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-845f0f7ea51113d8d0cba9c8db81fff2_l3.png "Rendered by QuickLaTeX.com")
to find the equation of line cutoff intercepts from the axes.
on using the formula,
The equation of the line is:
![\[~x/a\text{ }+\text{ }y/b\text{ }=\text{ }1\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-81695eee6891cf0bf11eab7c21c15ed5_l3.png "Rendered by QuickLaTeX.com")
![\[x/3\text{ }+\text{ }y/2\text{ }=\text{ }1\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-83a468482cc451848d1fda575687b517_l3.png "Rendered by QuickLaTeX.com")
taking LCM,
![\[2x\text{ }+\text{ }3y\text{ }=\text{ }6\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-924b065c6938bb627d698061abf6419c_l3.png "Rendered by QuickLaTeX.com")
∴ The equation of line cut off intercepts 3 and 2 from the axes is:
![\[~2x\text{ }+\text{ }3y\text{ }=\text{ }6\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-f4038b2ec21ae2f434545c799ca7abdf_l3.png "Rendered by QuickLaTeX.com")
(ii) Cutting off intercepts -5 and 6 from the axes.
Given:
![\[a\text{ }=\text{ }-5,\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-5db5f65dec0784120008bfc10812c717_l3.png "Rendered by QuickLaTeX.com")
![\[b\text{ }=\text{ }6\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-fea91152b271145668a95a15eaa129d8_l3.png "Rendered by QuickLaTeX.com")
to find the equation of line cutoff intercepts from the axes.
On using the formula,
The equation of the line is:
![\[x/a\text{ }+\text{ }y/b\text{ }=\text{ }1\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-7f7741e7ec82c2dcfb63ae172ba487fb_l3.png "Rendered by QuickLaTeX.com")
![\[x/-5\text{ }+\text{ }y/6\text{ }=\text{ }1\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-cc6841aa404ac78b85a48c7aadf25dda_l3.png "Rendered by QuickLaTeX.com")
By taking LCM,
![\[6x\text{ }\text{ }5y\text{ }=\text{ }-30\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-2eec7f3244ddeebe2cfeb9aea731b287_l3.png "Rendered by QuickLaTeX.com")
∴ The equation of line cut off intercepts 3 and 2 from the axes is:
![\[~6x\text{ }\text{ }5y\text{ }=\text{ }-30\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-a665b62908c3051622159717a0cfb5e2_l3.png "Rendered by QuickLaTeX.com")