Given:
A line segment joining
![\[\left( 2,\text{ }-\text{ }5 \right)\text{ }and\text{ }\left( 1,\text{ }2 \right)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-1b2f64dcfc9ec0b7786d2833f46df8ba_l3.png "Rendered by QuickLaTeX.com")
if it cuts off an intercept
![\[-\text{ }4\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-0ce5a11e9d6e335f38a4f35b1ade0733_l3.png "Rendered by QuickLaTeX.com")
from y–axis
By using the formula,
The equation of line is
![\[y\text{ }=\text{ }mx\text{ }+\text{ }C\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-cf73f50d0ce8021715fa61c8d466317b_l3.png "Rendered by QuickLaTeX.com")
It is given that,
![\[c\text{ }=\text{ }-\text{ }4\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-ba2077f2af27bea99f484542514dc53d_l3.png "Rendered by QuickLaTeX.com")
Slope of line joining
![\[({{x}_{1}}-\text{ }{{x}_{2}})\text{ }and\text{ }({{y}_{1}}-\text{ }{{y}_{2}})\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-0bb1b5eb5a02254a3185856535299582_l3.png "Rendered by QuickLaTeX.com")
So, Slope of line joining
![\[\left( 2,\text{ }-\text{ }5 \right)\text{ }and\text{ }\left( 1,\text{ }2 \right),\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-fec1f8e39c82204887eba4ef7b84fc0a_l3.png "Rendered by QuickLaTeX.com")
![\[m\text{ }=\text{ }-\text{ }7\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-ba3145236bcc46a1ded822f30f2fdf79_l3.png "Rendered by QuickLaTeX.com")
The equation of line is
![\[y\text{ }=\text{ }mx\text{ }+\text{ }c\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-7b84e507aa950093917873b19a0626b1_l3.png "Rendered by QuickLaTeX.com")
Now, substitute the values, we get
![\[y\text{ }=-\text{ }7x\text{ }-\text{ }4\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-110e9e843bbf749ac68790dc6e5e7e8c_l3.png "Rendered by QuickLaTeX.com")
![\[y\text{ }+\text{ }7x\text{ }+\text{ }4\text{ }=\text{ }0\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-e7db3181a1cf53e88dc44236457958ee_l3.png "Rendered by QuickLaTeX.com")
∴ The equation of line is