If it is a horizontal straight line, it means the object is moving at constant velocity. If it is a sloped line, it means the object is accelerating.
If the object's speed is changing, or it's not moving in a straight line, then it's accelerating.
An object is not accelerating when its velocity remains constant. This means that the object's speed and direction do not change over time, indicating that there is no net force acting on the object.
When an object stops accelerating, it is known as reaching a state of constant velocity. This means the object is moving at a steady speed in a straight line without any net acceleration.
Motion implies momentum, which implies velocity. Linear implies a straight line. Accelerating implies changing velocity. And uniform implies constancy. So, when an object moves in a straight line and accelerates at a constant rate, you have uniformly accelerating linear motion.
If the motion is all in a straight line, then Displacement = (1/2) x (acceleration) x (time spent accelerating)2
If an object is not accelerating, it can exist in two other states of motion: constant velocity motion (moving with a steady speed in a straight line) or at rest (not moving at all).
If its slanted up its accelerating, if down its decelerating.
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).
A car accelerating from rest to a higher speed in a straight line on a highway.
accelerating
Inertia causes a moving object to continue moving in a straight line at a constant speed unless acted upon by an external force.