Find the image of the point (-4, 0, -1) in YZ-plane.

Answer

To find the image of the point (-4, 0, -1) in the YZ-plane, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the YZ-plane**: The YZ-plane is defined by the equation x = 0. In this plane, the x-coordinate of any point is zero, while the y and z coordinates can take any value.

2. **Identify the Coordinates of the Given Point**: The given point is (-4, 0, -1). Here, the x-coordinate is -4, the y-coordinate is 0, and the z-coordinate is -1.

3. **Reflect the Point Across the YZ-plane**: When reflecting a point across the YZ-plane, the y and z coordinates remain unchanged, but the x-coordinate changes its sign. Therefore, the x-coordinate of -4 will become +4.

4. **Write the Image Coordinates**: After reflecting the point, the new coordinates will be (4, 0, -1).

Thus, the image of the point (-4, 0, -1) in the YZ-plane is (4, 0, -1).

### Final Answer:
The image of the point (-4, 0, -1) in the YZ-plane is (4, 0, -1).

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