A horizontal line parallel to speed axis indicates that the body is moving at a constant speed i.e. it's speed doesn't change with passage of time. The body may have zero or non zero acceleration, but it will always have non zero velocity.
But, that doesn't mean that body's velocity is constant and it is not accelerated. For example in uniform circular motion the speed of body remains constant but velocity changes due to change in the direction of motion. Also there is acceleration towards center of circle called centripetal acceleration which changes the direction of velocity.
For this acceleration a force should act towards the center called centripetal force.
If speed is constant then the force, if present, must act in direction perpendicular to the immediate direction of motion i.e. perpendicular to the tangent drawn at any point on the path of motion.
... zero or not changing, i.e. acceleration is zero if the line is horizontal.
Constant speedThe graph you described is a speed-time plot. If the line is horizontal, that indicates no change in speed over time. In other words, there is no acceleration (acceleration is zero), since there is no change in speed.
The graph you described is a speed-time plot. If the line is horizontal, that indicates no change in speed over time. In other words, there is no acceleration (acceleration is zero), since there is no change in speed.
constant speed
The straight horizontal line on the graph says: "Whatever time you look at, the speed is always the same". This is the graph of an object moving with constant speed.
Constant speed ... zero acceleration.
If a graph shows distance on the vertical axis and time on the horizontal axis, and the speed is steadily increasing, the line representing speed will be a straight line.
Acceleration
Speed
No. It shows zero speed. Velocity is distance/unit time. The slope of the line shows change in distance / change in time. Since distance never changes as time changes, the change in distance is zero. Alternatively, the slope of a horizontal line is zero. If zero speed is considered "constant", then yes, it does show constant speed but the speed is zero.
The independent variable, in this case time, is on the horizontal axis of a speed graph.
that would indicate that the object is at rest (static object) :D
Assuming it is a spped v/s time graph, a horizontal line represents motion at a constant speed.