when the graph of a system of equation coincide the system is said to be
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If by "coincide" you mean that the lines intersect, it means that the solution to the system is that intersection point. For example, if the intersection point of the 2 lines is (3,7) on the graph, it means that in both equations, x = 3 and y = 7.
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The two lines have different slopes and intersect at one point in the plane. A consistent system is considered to be a dependent system if the equations have the same slope and the same y-intercepts. In other words, the lines coincide so the equations represent the same line.
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