In a time-position graph where the velocity of an object is constant:
- If the velocity is positive (moving in a positive direction), the slope of the line will be positive, indicating that the object is moving away from the starting point at a constant rate.
- If the velocity is negative (moving in a negative direction), the slope of the line will be negative, indicating that the object is moving toward the starting point at a constant rate.
- If the slope of the line is equal to zero, it indicates that the object is not changing its position over time, which means it is stationary.
Based on the options provided, the correct statements would be:
- If the slope of the line is positive, the object is in motion (not stationary).
- If the slope is negative, the object is also in motion (not stationary).
- If the slope is equal to zero, the object is stationary.
Thus, the statement "The slope of the line is equal to zero and the object will be stationary" would be correct.
So the final answer is: The slope of the line is equal to zero and the object will be stationary.