Understanding the Equation Y = mx + b in Position-Time Graphs

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i am currently taking physics 11. i have seen this equation before, but my class is at such a fast pace i couldn't fully learn what this equation ment. i am working on a position time graph, what exactly does this equation mean? what does the letter " b " resemble?
 
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That's the equation of a straight line on the x-y plane. m is the slope of the line. b is the y-intercept.
 
and the y intercept is where the line crosses the y-axis right?
 
pdot said:
and the y intercept is where the line crosses the y-axis right?

Right. Also where x = 0.