Answer:
E. [tex]y=\dfrac{3}{2}x[/tex]
Step-by-step explanation:
The equation of the line is
[tex]y=mx+b,[/tex]
where m is a slope and b is y-intercept.
Since the line passes through the origin, then b = 0.
This line passes through the points (0,0) and (-2,-3), then the slope of the line is
[tex]\dfrac{-3-0}{-2-0}=\dfrac{3}{2}[/tex]
Therefore, the equation of the line is
[tex]y=\dfrac{3}{2}x[/tex]
