A is definitely the answer.
Use distance formula:-
distance = sqrt [ (x2 - x1)^2 + (y2 - y1)^2) ]
let (x1,y1) = (-3,1) and (x2,y2) = (-1,6) Plug these values in to formula.
The value of D should be 4
The answer is
0.000568902892652.
Let's prove each one:
A) y=x-3
x=0→y=0-3→y=-3=-3 ok
x=2→y=2-3→y=-1 different to 5 No
B) y=x+3
x=0→y=0+3→y=3 different to -3 No
C) y=4x-3
x=0→y=4(0)-3=0-3→y=-3=-3 ok
x=2→y=4(2)-3=8-3→y=5=5 ok
x=3→y=4(3)-3=12-3→y=9=9 ok
x=4→y=4(4)-3=16-3→y=13=13 ok
D) y=4x+3
x=0→y=4(0)+3=0+3→y=3 different to -3 No
Answer: Option C) y=4x-3
