X = 1, 2, 3, 4, 5. y=11/4, 25/4, 39/4, 53/4, 67/4. what equation relates y to x in the values x and y?

(1,11/4) (2,25/4)

slope = (25/4 - 11/4) / (2 - 1) = (14/4) / 1 = 14/4 = 7/2

y = mx + b

slope (m) = 7/2

(1,11/4) ... x = 1 and y = 11/4

now we sub and find b, the y int

11/4 = 7/2 (1) + b

11/4 = 7/2 + b

11/4 - 7/2 = b

11/4 - 14/4 = b

-3/4 = b

so ur equation is : y = 7/2x - 3/4