Answer:
The equation of the line is:
C. [tex]y=\dfrac{-3}{4}x[/tex]
Step-by-step explanation:
The line passes through the point (0,0) and (4,-3).
By using the two point formula to find the equation of the line.
i.e. any line passing through two points (a,b) and (c,d) is calculated by using the formula:
[tex]y-b=\dfrac{d-b}{c-a}\times (x-a)[/tex]
Here (a,b)=(0,0) and (c,d)=(4,-3)
Hence, the equation of line is calculated as follows:
[tex]y-0=\dfrac{-3-0}{4-0}\times (x-0)\\\\i.e.\\\\y=\dfrac{-3}{4}\times x\\\\i.e.\\\\y=\dfrac{-3}{4}x[/tex]
Hence, the correct answer is: Option: C
