What is your location on the coordinate plane if you walked one-third of the way from home to school in a straight line?
a) (3, 11/2)
b) (3, 11/3)
c) (9/2, 11/3)
d) (9/2, 11/2)

The answer is B) (3, 11/3).

The slope, rise/run, from home to school is -4/6.  We will add 1/3 of the rise to the y-coordinate from Home, and 1/3 of the run to the x-coordinate of home:

H(1, 5) → (1+(1/3)(6), 5+(1/3)(-4))
= (1 + 2, 5 -1 1/3) = (3, 3 2/3) = (3, 11/3).