I need help urgently!!!!! The question on the picture. 55 points to anybody with the right answer!!! Work shown. Let me see the logic

Answer:
Option 3
Step-by-step explanation:
Slope: m = 1
y - x = -1
y = x - 1
Answer:
Third option (y - x = -1)
Step-by-step explanation:
That is the only option, when put into slope-intercept form, that has the same slope but different y-intercept as the original linear equation.