2. Find the value of $a$ such that the point $A(2,-7)$ lies on the line $3 x=a y-8$ (2 marks)

Step 1 ：Given the point A(2,-7) and the line equation 3x = ay - 8, we need to find the value of 'a' such that the point lies on the line.

Step 2 ：We substitute x = 2 and y = -7 into the equation, which gives us 3*2 = a*(-7) - 8.

Step 3 ：Solving this equation for 'a', we get a = \(-2\).

Step 4 ：Final Answer: The value of 'a' such that the point A(2,-7) lies on the line 3x = ay - 8 is \(\boxed{-2}\).