Question

A certain game is played on a board that shows a portion of the xy-coordinate plane. During one move in the game, a marker at a point (a,b) is first moved to the point (b,a) and then moved 3 units to the left. During such a move, a marker that is at (4,3) will be moved to

Answer 1

Answer: (0,4)

Explanation:

Given: During one move in the game, a marker at a point (a,b) is first moved to the point (b,a) . (i)

And then moved 3 units to the left. (ii)

Translation rule to move a point (x,y) c units left : (x,y)→(x-c,y)

Now, (4,3) first will become (3,4) [using (i)]

Then, (3,4)→(3-3,4)=(0,4) [using (ii) and translation rule]

Hence, During such a move, a marker that is at (4,3) will be moved to (0,4).