The point (h,k) lies on the line y = x+1

Question

The point (h,k) lies on the line y = x+1 and is 5 units from the point (0,2). Write down two equations connecting h and k and hence find the possible values of h and k. The textbook gives the answer k=5 and h=4,or k=−2 and h=−3 but I am unsure of how to get to that answer

Answer 1

Use the distance formula.

d² = (0 - h)² + (2 - (h +1))²

 

Can you solve for h an aswer?