Answer:
Option: A is the correct answer:
[tex]A.\ y=-3x[/tex]
Step-by-step explanation:
The equation of a line passing through two points (a,b) and (c,d) is calculated with the help of a two-point formula:
[tex]y-b=\dfrac{d-b}{c-a}\times (x-a)[/tex]
Based on the graph we observe that the line passes through:
(0,0) and (3,-9)
i.e. we have: (a,b)=(0,0) and (c,d)=(3,-9)
i.e. the equation of line is given by:
[tex]y-0=\dfrac{-9-0}{3-0}\times (x-0)\\\\i.e.\\\\y=\dfrac{-9}{3}\times x\\\\i.e.\\\\y=-3x[/tex]
The answer is: Option: A
