Question

is the inverse of an ordered pair on a graph is it’s reflection across the line y=x , sometimes, always, or never true?

Answer 1

Always

Explanation:

Finding the inverse of an ordered pair is simply swapping the position of x and y coordinates

if a point is (2,3), then the inverse is (3,2)

In general a point (x,y) will have its inverse as (y,x)

So now a point lets see a point (x,y) reflected on line on line y=x , the resulting image of the point will be (y,x)

For example point (1,2) reflected on y=x will have image at (2,1)

This means that inverse of an ordered pair on a graph is its reflection across the line y=x always