Question

state the coordinates of the point.

Explanation:

Step1: Determine the x - coordinate

To find the x - coordinate, we look at the horizontal (x - axis) distance from the origin. The point is 2 units to the left of the origin (since it's in the negative x - direction). Wait, no, let's count the grid squares. Wait, looking at the graph, the x - axis: each grid square seems to be 1 unit? Wait, the origin is (0,0). Let's check the position of the black dot. Let's move horizontally from the dot to the y - axis. The dot is 2 units to the left of the y - axis? Wait, no, maybe I miscounted. Wait, the x - axis has marks at - 10, - 5, 0, 5, 10. Let's see the horizontal position: the dot is 2 units to the left of the y - axis? Wait, no, let's look again. Wait, the y - axis is at x = 0. The dot is at x=-2? Wait, no, maybe the grid is such that each square is 1 unit. Wait, let's check the vertical position first.

Step2: Determine the y - coordinate

For the y - coordinate, we look at the vertical (y - axis) distance from the origin. The dot is 8 units below the origin (in the negative y - direction)? Wait, no, the y - axis has marks at 10, 5, 0, - 5, - 10. Wait, the dot is at y=-8? Wait, no, let's count the grid squares. Wait, maybe I made a mistake. Wait, the correct way: to find the coordinates of a point (x,y), x is the horizontal distance from the y - axis (positive to the right, negative to the left), y is the vertical distance from the x - axis (positive up, negative down).

Looking at the black dot:

• Moving horizontally to the y - axis: it is 2 units to the left of the y - axis, so x=-2? Wait, no, wait the x - axis labels: - 10, - 5, 0, 5, 10. Let's see the horizontal position: the dot is at x = - 2? Wait, no, maybe the grid is 1 unit per square. Wait, maybe I messed up. Wait, let's look at the vertical position: the dot is 8 units below the x - axis? Wait, no, the y - axis labels: 10, 5, 0, - 5, - 10. So from the x - axis (y = 0) down to the dot, how many units? Let's count: from y = 0 down to y=-8? Wait, no, the dot is at y=-8? Wait, no, maybe the correct coordinates are (-2, - 8)? Wait, no, let's re - examine.

Wait, maybe the grid is such that each square is 1 unit. Let's count the horizontal distance: from the dot to the y - axis (x = 0), moving left or right? The dot is to the left of the y - axis, so x is negative. Let's count the number of grid squares: from the dot to the y - axis, it's 2 squares to the left, so x=-2.

For the vertical distance: from the dot to the x - axis (y = 0), it's 8 squares down, so y=-8. Wait, but that doesn't seem right. Wait, maybe I made a mistake. Wait, the other point (the arrow) is at (5,5)? No, the black dot is the one we need. Wait, let's look at the graph again. The black dot is at x=-2 and y=-8? Wait, no, maybe the correct coordinates are (-2, - 8). Wait, no, let's check the grid lines. Wait, the x - axis: each major tick is 5 units? No, the distance between - 10 and - 5 is 5 units, so each major tick is 5 units, and each minor tick (grid square) is 1 unit. So from the origin (0,0), moving left 2 units (x=-2) and down 8 units (y = - 8). So the coordinates of the point are (-2, - 8). Wait, no, maybe I miscounted. Wait, let's do it properly:

1. Find x - coordinate: The point is 2 units to the left of the y - axis, so x=-2.
2. Find y - coordinate: The point is 8 units below the x - axis, so y=-8.

So the coordinates of the point are (-2, - 8).

Answer:

(-2, - 8)