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 slope of the line on a position vs. time graph represents the object's speed. A steeper slope indicates a higher speed, while a shallower slope indicates a lower speed. If the slope is positive, the object is moving away from the starting point, and if it's negative, the object is moving back toward the starting point. A flat line (zero slope) means the object is at rest.
The object is accelerating
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. If the slope is positive, the direction of the displacement is positive (e.g. north, east, or right). If the slope is negative, the direction of the displacement is negative (e.g. south, west, or left).
If the curve is horizontal, then the speed is constant. If that horizontal graph lies on the x-axis, then the constant speed is zero, and the object is stationary.
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.