Question

Point Y(4,3)
is reflected across horizontal line y=1
. What will be the coordinates of Y′
?

(1 point)
Y(4,3)→Y′
(
,
)

Answer 1

To find the coordinates of the point Y' after reflecting the point Y(4, 3) across the horizontal line y = 1, we can follow these steps:

1. **Determine the vertical distance from Y to the line y = 1**:
- The y-coordinate of Y is 3.
- The y-coordinate of the line is 1.
- The distance from Y to the line is \(3 - 1 = 2\).

2. **Reflect this distance across the line**:
- Since we are reflecting across y = 1, we move down the same distance (2 units) below the line.
- The new y-coordinate will be \(1 - 2 = -1\).

3. **Keep the x-coordinate the same**:
- The x-coordinate remains unchanged since the reflection is horizontal.
- Thus, the x-coordinate will still be 4.

Combining these, the coordinates of Y' after reflection will be:

Y′(4, -1)

So the final answer is:

Y(4,3)→Y′(4, -1)