Question

y( _, _ )
z( _, _ )

Explanation:

Step1: Determine coordinates of Y

To find the coordinates of point \( Y \), we look at its position on the coordinate plane. The x - coordinate is the horizontal distance from the origin, and the y - coordinate is the vertical distance. For point \( Y \), it lies on the y - axis (x = 0) and on the x - axis (y = 0)? Wait, no, looking at the grid, point \( Y \) is at (0, 0)? Wait, no, wait the grid: the x - axis is horizontal, y - axis vertical. Wait, the point \( Y \): let's count the grid squares. The x - coordinate: from the origin (0,0), moving horizontally. Wait, the point \( Y \) is at (0, 0)? Wait, no, looking at the graph, the point \( Y \) is at (0, 0)? Wait, no, the black dot for \( Y \) is at x = 0 (since it's on the y - axis) and y = 0? Wait, no, maybe I made a mistake. Wait, the x - axis is the horizontal line, y - axis vertical. Let's check the coordinates of \( Y \): the x - coordinate (horizontal) is 0 (since it's on the y - axis), and the y - coordinate (vertical) is 0? Wait, no, looking at the grid, the point \( Y \) is at (0, 0)? Wait, no, maybe the x - coordinate is 0 and y - coordinate is 0? Wait, no, let's look at point \( Z \). Point \( Z \): let's count the horizontal (x) and vertical (y) distances. From the origin (0,0), moving left 5 units (so x=-5) and up 1 unit (so y = 1). Wait, no, let's re - examine:

For a point \((x,y)\) in the coordinate plane, \( x \) is the distance along the x - axis (positive to the right, negative to the left), and \( y \) is the distance along the y - axis (positive up, negative down).

• For point \( Y \): It is on the y - axis (so \( x = 0 \)) and on the x - axis (so \( y=0 \))? Wait, no, the black dot for \( Y \) is at the intersection of the x - axis and y - axis? Wait, no, looking at the grid, the x - axis is the horizontal line with 0 in the middle, and y - axis vertical. The point \( Y \) is at (0, 0)? Wait, no, maybe the x - coordinate is 0 and y - coordinate is 0. Wait, no, let's check the grid lines. The x - axis has numbers: - 6, - 5, - 4, - 3, - 2, - 1, 0, 1, 2, 3, 4, 5, 6? Wait, no, the x - axis in the graph: the horizontal line, and the vertical line is y - axis. The point \( Y \) is at (0, 0)? Wait, no, the black dot for \( Y \) is at x = 0 (since it's on the y - axis) and y = 0? Wait, maybe I misread. Wait, the point \( Y \): let's see, the vertical line (y - axis) is at x = 0, and the horizontal line (x - axis) is at y = 0. So the intersection is (0,0). Then point \( Z \): moving left from the origin (x - direction) 5 units (so x=-5) and up 1 unit (y = 1). So:

Step2: Coordinates of Y

The x - coordinate of \( Y \) is 0 (since it's on the y - axis), and the y - coordinate is 0 (since it's on the x - axis). So \( Y(0,0) \).

Step3: Coordinates of Z

For point \( Z \), we move 5 units to the left of the origin (so x=-5) and 1 unit up (so y = 1). So \( Z(-5,1) \).

Answer:

\( Y(0,0) \), \( Z(-5,1) \)