Question

write your answer as an integer or decimal to the nearest 0.5.
(the coordinate plane with points y, w, x, v plotted)

Explanation:

Step1: Determine x - coordinate of X

Point X is on the vertical line corresponding to \( x = 2 \) (since it's 2 units to the right of the origin on the x - axis).

Step2: Determine y - coordinate of X

Point X is on the horizontal line between \( y=-1.5 \) and \( y = - 2 \)? Wait, no. Looking at the grid, the y - axis: each grid line is 1 unit? Wait, the point X is at x = 2, and for y - coordinate, let's see. The point is below the x - axis (y=0). The distance from y = - 1 to y=-2: the point X is at y=-1.5? Wait, no, the blue dot for X: let's check the grid. The x - coordinate: moving from origin (0,0) to the right, the x - value for X is 2 (since it's at the column of x = 2). For y - coordinate: moving down from y = 0, the first grid line is y=-1, the second is y=-2. The point X is halfway between y=-1 and y=-2? Wait, no, looking at the graph, the point X is at (2, - 1.5)? Wait, no, the problem says "to the nearest 0.5". Wait, let's re - examine. The x - coordinate of X: the vertical line is x = 2 (since it's 2 units right of x = 0). The y - coordinate: the point is below the x - axis. The distance from y = 0 to the point: let's see the grid. The point X is at y=-1.5? Wait, no, the graph shows that the point X is at (2, - 1.5)? Wait, no, maybe I made a mistake. Wait, the grid lines: each square is 1 unit. The point X is at x = 2, and y=-1.5? Wait, no, the blue dot for X: let's count the grid. The x - coordinate: from x = 0, moving right 2 units, so x = 2. The y - coordinate: from y = 0, moving down 1.5 units? Wait, no, the point is between y=-1 and y=-2, and since we need to the nearest 0.5, the y - coordinate is - 1.5? Wait, no, maybe the y - coordinate is - 1.5? Wait, no, let's look again. The point X is at (2, - 1.5)? Wait, no, the correct coordinates: x = 2, y=-1.5? Wait, no, the graph: the x - axis is horizontal, y - axis vertical. The point X is at x = 2 (since it's in the column of x = 2) and y=-1.5 (since it's halfway between y=-1 and y=-2, and to the nearest 0.5, that's - 1.5). Wait, no, maybe the y - coordinate is - 1.5? Wait, no, let's check the problem statement: "Write your answer as an integer or decimal to the nearest 0.5". So x = 2, y=-1.5? Wait, no, maybe I misread. Wait, the point X is at (2, - 1.5)? Wait, no, let's see the graph again. The x - coordinate: 2 (because it's 2 units to the right of the origin on the x - axis). The y - coordinate: the point is below the x - axis. The distance from y = 0 to the point: the first grid line down is y=-1, the second is y=-2. The point is at y=-1.5 (since it's halfway, and 1.5 is a multiple of 0.5). So the coordinates of X are (2, - 1.5).

Answer:

\((2, - 1.5)\)