Question

If a line is not horizontal or vertical, how is the slope of the line related to the slope of its reflection image in each of the following? a) x-axis and b) y-axis Please explain. D:

Answer 1

the slope the reflection is the inverse of the slope of the original line. the point (3, 2) will become (2,3) x and y values are transposed.

Answer 2

ohh..

Answer 3

Just to add to campbell's answer,

The slope of the original line is
\[m=\tan \theta\]
The slope of the reflection through x-axis is:
\[\tan(-\theta)=-\tan \theta=-m\]
The slope of the reflection through y-axis is:
\[\tan(90+\theta)=-\cot \theta=-1/m\]
Clear?