Let
A (0,-2) B (1,-3) C (2,-4) D ( 3,-5) E (4,-6)
using a graph tool
see the attached figure N 1
case a) exponential
[tex] y=3^{x} -2 [/tex]
see the attached figure N 2
case b) quadratic
[tex] y=x^{2} -2 [/tex]
see the attached figure N 3
case c) linear
[tex] y=-x-2 [/tex]
see the attached figure N 4
case d) linear
[tex] y=x-2 [/tex]
see the attached figure N 5
therefore
the answer is
the case c) linear
[tex] y=-x-2 [/tex]
