It depends on what variables are graphed.
The line which has greater slope stands for the fast moving object
Only if you know your location (the coordinate on the distance scale and the time scale) where "you" are can you infer if the object is moving towards you (the absolute distance to the object is decreasing) or away from you (the distance is increasing).
Of course yes. An object is stationary when the graph is horizontal in a displacement-time graph.
The object is accelerating
It tells you that the speed of the object is not changing. The speed is represented by the slope in a distance vs. time graph, if slope doesn't change, speed doesn't.
You can tell which object is moving by looking at the slope of the graph. A steeper slope indicates a faster-moving object, while a flatter slope indicates a slower-moving object. Additionally, a positive slope indicates forward motion, while a negative slope indicates backward motion.
The line which has greater slope stands for the fast moving object
Yes, a position-time graph can tell you the direction of the displacement of an object. If the slope of the graph is positive, the object is moving in the positive direction. If the slope is negative, the object is moving in the negative direction.
Yes, if the velocity-time graph shows a horizontal line at zero velocity, then the object is stationary. This would indicate that the object is not moving.
Only if you know your location (the coordinate on the distance scale and the time scale) where "you" are can you infer if the object is moving towards you (the absolute distance to the object is decreasing) or away from you (the distance is increasing).
it may tell the speed of the moving object
Of course yes. An object is stationary when the graph is horizontal in a displacement-time graph.
The slope of the line of a distance versus time graph is the velocity of the object. If this is a constant, in other words the graph is a straight line, the object is not changing its velocity and so is not accelerating. If the object is accelerating, the velocity of the object will be changing, thus the graph will not be a straight line, but a curve - the amount of curvature (and direction) tells you how much the object is accelerating (and in what direction - velocity and acceleration are vector quantities with both magnitude and direction).
The gradient of a distance-time graph gives the object's speed.
If the graph of the object's motion shows a slope that is changing over time, then the object is changing its speed. A steeper slope indicates a faster speed, while a flatter slope suggests a slower speed. Additionally, a curve in the graph may indicate acceleration or deceleration, which also implies a change in speed.
The point on the graph will be higher (in the normal configuration of such graphs).
No, a velocity graph does not indicate where to start. It provides information about the speed and direction of an object's motion at different points in time but does not specify the initial position of the object.