(a) Find the equation of a straight line which passes through the point (2, -3) and is parallel to the line \(2x + y = 6\). (b) The operation \(\Delta\) is ...

(a) Find the equation of a straight line which passes through the point (2, -3) and is parallel to the line \(2x + y = 6\).

(b) The operation \(\Delta\) is defined on the set T = {2, 3, 5, 7} by \(x \Delta y = (x + y + xy) mod 8\).

(i) Construct modulo 8 table for the operation \(\Delta\) on the set T.

(ii) Use the the table to find: (a) \(2 \Delta (5 \Delta 7)\) ; (b) \(2 \Delta n = 5 \Delta 7\).

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