The velocity at the starting point (when t = 0).
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It means that the object was travelling away from or towards the point of reference with a velocity represented by the intercept at the start of the measurement, that is, at time t = 0.
If x is horizontal distance in your graph, and y is vertical distance, the vertical intercept is what y is when x=0. For example, if x is the time since you started a business, and y is how much your business is worth, the vertical intercept is how much money you started off with.
distance = velocity x time so on the graph velocity is slope. If slope is zero (horizontal line) there is no motion
In such graphs the x-axis is usually (but not always) the time axis. The x-intercept represents the time(s) at which your position is at the starting point - either for the first time or later.
On a graph of velocity and time, a constant speed would appear as a straight horizontal line.