In the xy-plane, points (−3,5) and (6,8) lie on line I . Which of the following points is also on line I?

(12,11)

(0,6)

(9,10)

(3,8)

Find the equation of line I using the two-point form:

(y - 5) / (8 - 5) = (x - (-3)) / (6 - (-3))

(y - 5) / 3 = (x + 3) / 9

y = (1/3)x + 6

Check which point lies on line I:

(0, 6): 6 = (1/3)(0) + 6 => True

Answer: (0, 6)