Question

Which coordinate divides the directed line segment from −10 at J to 23 at K in the ratio of 2 to 1?

1

11

12

Answer 1

12

Explanation:

The difference of the two coordinates is ...

23 -(-10) = 33

The desired coordinate is 2/3 of that length from J, so is ...

J + (2/3)·33 = J +22 = -10 +22 = 12

The desired coordinate is 12.