Final answer:
The equation of the line that passes through the origin and has a slope of -2/3 is y = (-2/3)x.
Step-by-step explanation:
The equation of a line that passes through the origin and has a slope of -2/3 can be written in the form y = mx, where m is the slope. In this case, the slope is -2/3, so the equation becomes y = (-2/3)x.
Alternatively, the equation can also be written as y = %28-2/3%29x + 0, where the y-intercept is 0 since the line passes through the origin. The y-intercept, or b, represents the point where the line intersects the y-axis.