Question

The point (2, –4) is reflected across the line y = –1. What are the coordinates of the image?

Answer 1

The coordinates of the image are (2,2)

Step-by-step explanation

The mapping for a reflection across the line y=k is :

`(x,y)\to (x,2k-y)`

We want to find the image of the point (2,-4) after a reflection in the line y=-1.

In this case k=-1.

`(2, - 4)\to (2,2( - 1)- - 4)`

This simplifies to,

`(2, - 4)\to (2, - 2 + 4)`

`(2, - 4)\to (2, 2)`

Hence the image is (2,2)