The pair of equations x=a and y=b graphically represents lines which are:

a) Parallel

b) Intersecting at (b,a)

c) Coincident

d) Intersecting at (a,b)

Please answer and explain.

The pair of equations x = a and y = b graphically represent lines which are parallel to y-axis and x-axis.
The graph shown below represents the situation;

Therefore, The pair of equations 
x = a and y = b graphically represent lines intersecting at (a, b).

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