Find the equation of the line containing the points (-2,0), (4, 18) and (5,21).

y=3x+6

Step-by-step explanation:

Step-by-step explanation:

a)L(n)= 4n -3

Check: n = 4 ; L(n)= 4*4 - 3    = 16 - 3     =13

           n = 7;   L(7) = 7*4 - 3    = 28- 3    = 25

           n = 9;   L(9) = 9*4 - 3    =  36 - 3  = 33

           n = 12;  L(12) = 12*4 - 3 = 48 - 3  =45

b) L(n) = n² + 3

Check:  n = 0  ;   L(0) =  0² + 3 = 3

             n = 4  ;   L(4) = 4² + 3   = 16 + 3 = 19

             n = 5  ;   L(5) = 5² + 3   = 25 + 3 = 28

             n = 12  ;   L(12) = 12² + 3 = 144 + 3 = 147