We can draw 1 line through points J and K.
According to a theorem of Euclidean Geometry, for any two points lying on the same plane, one and only one line can be drawn through them.
In the question, we are given that points J and K lie in plane H.
We are asked for the number of lines that can be drawn through points J and K.
According to the above-said theorem, we can know that for any two points lying on the same plane, one and only one line can be drawn through them.
We are given that J and K lie on the same plane H.
Thus, we can say that through J and K, we can have only one straight line.
Thus, We can draw 1 line through points J and K.
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