Consider a transformation T for which the image of the x-axis is the line 2x+3y=6 and the image of the y-axis is the line x+7y=7. What must be the image of the origin? Could T be an isometry?

This seems simple but i am not sure of my answer.

y=o y=-2/3x+2

x=0 x= -7y+7

origin (7,2)

Is this an isometry?

I don't think it is.