What is the equation of the following line? Be sure to scroll down first to see all answer options.


Answer:
Option C is the answer.
Step-by-step explanation:
The given line passes through two points origin ( 0,0) and ( -2, -3 ).
Let the given line is y = mx + c
Since the line is passing through origin so y-intercept c will be zero and slope of the line will be
[tex]m=\frac{y-y'}{x-x'}[/tex]
= [tex]\frac{-3-0}{-2-0}[/tex]
= [tex]\frac{3}{2}[/tex]
Therefore, equation of the line will be y = [tex]\frac{3}{2}[/tex]x
Option C is the answer.