You can use the formula: y=mx+b (berdill)
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Calculate slope as slope=(y2-y1)/(t2-t1).
On the standard Cartesian graph, horizontal lines have zero slope. They all have the equation Y = a number
If an x-t graph is a position-time graph, velocity is the slope of the line on the graph.
If you graph distance vs. time, the slope of the line will be the average speed.
two ways : 1. calculate the slope of the two lines, if it is same, they are parallel. 2. draw a perpendicular line ( 90 degrees) from on of the lines and if it intersects the other line at 90degrees then they are parallel -HD