Find the function rule.

The correct answer is: 2x+3

GIVEN-
x1 = 0, y1 = 3, x2 = 1, y2 = 5, x3 = 2, y3 = 7, x4 = 3, y4 = 9, x5 = 4, y5 = 11
TO FIND-
Equation that matches the given coordinates
SOLUTION-
we observe that (0,3) and (1,5) are 2 points on the given line.
Hence, we use 2 point formula of a line to find its equation.
(y-y1)/ (x-x1) = (y2-y1)/ (x2-x1)
∴ (y-3)/ (x-0) = (5-3)/ (1-0)
∴ (y-3)/ x = 2/1
∴ 1 (y-3) = 2 x ...................... (Cross multiplying)
∴ y - 3 = 2x
∴ y = 2x + 3 ....................... (Adding both sides with 3)
FINAL ANSWER-
Option 'b' i.e. '2x + 3' is the correct answer to the given question.

Options b & d both are correct as they both give the final answer 2x + 3.