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

(0,4)

Step-by-step 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).

Answer

y = -3x-14

Step-by-step explanation:

Using the slope formula:

m = (x2-x1)/(y2-y1) where the coordinates are (x1, y1), (x2, y2)

Plug in:

m = (-2+5)/(-4+3) (TO AVOID ERRORS: Make sure your signs are correct!)

And simplify!)

m = -3

Then, use the slope intercept formula

y - y1 = m(x - x1) (use either point its fine)

y + 2 = -3(x +4)

y = -3x - 14