Answer:
c
y=x-1
Step-by-step explanation:
A line passes through the points (x,y) if they correspond to the equation so we have to prove the points with each of the given equations
a) y=x+1 replacing x with 2 we obtain
y=2+1= 3 ≠ 1 so it can´t be the equation
c) y=x-1 replacing x with 2 que obtain
y=2-1= 1 so we have that this equation passes through the point (2,1)
now we have to prove that it passes through (5.4)
So we repeat again replacing x with 5 so we have that
y=5-1=4 So it proves that it passes through the point (5,4)
Just to be sure let´s replace the point (2,1) in the other two equations
y=-2-1=-3≠1
y=2+3=5≠1
Hence the answer is C
