Question

what are the coordinates of point s? write your answer as an integer or decimal to the nearest 0.5.

Explanation:

Step1: Determine the x - coordinate of S

Looking at the graph, the x - coordinate of point S is - 4 (since it lies on the vertical line corresponding to x=-4).

Step2: Determine the y - coordinate of S

The y - coordinate of point S is between - 3 and - 2.5? Wait, no. Looking at the grid, the distance between - 2 and - 3 is 1 unit. The point S is halfway between - 3 and - 2.5? Wait, no. Let's see, the y - axis has lines at y = - 3, y=-2.5? Wait, no, the grid lines: from the graph, the vertical distance between y=-2 and y=-3 is 1 unit. The point S is at y=-2.5? Wait, no, looking at the position of S, it is at x = - 4 and y=-2.5? Wait, no, let's check again. The point S is located at x=-4 (since it's under the x=-4 vertical line) and for the y - coordinate, it's halfway between y=-2 and y=-3? Wait, no, the y - values: the line for y=-2, y=-1, y = 0, etc. Wait, the point S is below the x - axis. Let's count the grid lines. The x - coordinate: moving from the origin (0,0) to the left, the x - coordinate of S is - 4 (since it's on the vertical line where x=-4). For the y - coordinate: the point S is between y=-2 and y=-3? Wait, no, looking at the graph, the blue dot S is at x=-4 and y=-2.5? Wait, no, let's see the vertical lines. The y - axis has lines at y=-3, y=-2.5? No, the grid is such that each square is 1 unit? Wait, no, the distance between y=-2 and y=-3 is 1 unit. The point S is at y=-2.5? Wait, no, the position of S: from the graph, the x - coordinate is - 4 (since it's aligned with x=-4) and the y - coordinate is - 2.5? Wait, no, let's check the coordinates. Wait, the x - coordinate: the vertical line for x=-4 (since the x - axis labels are - 5, - 4, - 3, etc.). The y - coordinate: the point S is at y=-2.5? Wait, no, looking at the graph, the blue dot S is at x=-4 and y=-2.5? Wait, no, maybe I made a mistake. Wait, the x - coordinate of S is - 4 (because it's on the x=-4 line) and the y - coordinate: between y=-2 and y=-3, but closer to - 2.5? Wait, no, the graph shows that the point S is at x=-4 and y=-2.5? Wait, no, let's see: the y - axis has lines at y=-3, y=-2, y=-1, etc. The point S is at x=-4 and y=-2.5? Wait, no, the correct way: in a coordinate plane, the coordinates are (x,y) where x is the horizontal position and y is the vertical position. For point S, moving left from the origin (0,0) to x=-4 (so x=-4) and moving down from the origin, the y - coordinate: the point S is at y=-2.5? Wait, no, looking at the graph, the blue dot S is at x=-4 and y=-2.5? Wait, no, let's check the grid. The x - coordinate: - 4 (since it's on the x=-4 vertical line). The y - coordinate: it's halfway between y=-2 and y=-3? Wait, no, the distance between y=-2 and y=-3 is 1 unit. So the mid - point between y=-2 and y=-3 is y=-2.5. So the coordinates of S are (-4, - 2.5).

Answer:

(-4, - 2.5)