Final answer:
The line that passes through the origin is y = x - 3.
Step-by-step explanation:
The line that passes through the origin is given by the equation y = x - 3, so the correct answer is B.
This equation is in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 1 and the y-intercept is -3, so the line passes through the point (0, -3), which is the origin.