Hey there!
Since these triangles are similar, their sides have the same slope.
We see that m=-1, because rise=1 and run =-1.
Also, we have that (6,2) is a point on the line so we use point slope form.
(y-2)=-1(x-6)
y-2=-x+6
y=x+8
So the equation is y=x+8
Let me know if this helps :)
why?
Step-by-step explanation: