Answer:
The required equation of the line is
Step-by-step explanation:
Given : Points (0,0), (2,-8).
To find : What is the equation of the line ?
Solution :
Applying Two point slope form to find the equation,
![(y-y_1)=\frac{y_2-y_1}{x_2-x_1}(x-x_1)](https://tex.z-dn.net/?f=%28y-y_1%29%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%28x-x_1%29)
Where,
and ![(x_2,y_2)=(2,-8)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%3D%282%2C-8%29)
Substitute in the formula,
![(y-0)=\frac{-8-0}{2-0}(x-0)](https://tex.z-dn.net/?f=%28y-0%29%3D%5Cfrac%7B-8-0%7D%7B2-0%7D%28x-0%29)
![y=\frac{-8}{2}x](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B-8%7D%7B2%7Dx)
![y=-4x](https://tex.z-dn.net/?f=y%3D-4x)
Therefore, The required equation of the line is ![y=-4x](https://tex.z-dn.net/?f=y%3D-4x)