Probably yes. But rate can mean many things: it is the constant of proportionality between two measurements. For example, the price per square metre of property is called a rate, how fast you spend you money is a rate (of expenditure).
Second, it also depends on what the line represents.
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A straight line with a positive slope on a position-time graph is the graph of an object that's moving in a straight line with constant speed.
A problem in motion along a straight line is a problem that takes place in one dimension. An example problem is an object on a straight conveyor belt.
If an object moving along a straight line,path,track etc.It,s motion is said to be straight line motion
The slope of a line on a position vs. time graph would represent the a velocity of the object being described.
The line which has greater slope stands for the fast moving object