Question

If a line has slope a, what is the slope of its reflection across the line y = x?...The slope of its reflection across the line y = x will be …..

Answer 1

Step-by-step explanation:

A straight line is in the general form y = ax + c

Where the slope is a.

Reflection along the line y = x results in the inverse of a function.

For y = ax+c, the inverse will be

x = ay + c

x/a -c/a = y

Thus the slope of the line after the reflection is 1/a

Answer: slope = 1/a