Question

On a number line, A is at -2 and B is at 4. What is the coordinate of C, which is 2/3

the way from A to B?

Answer 1

2

Explanation:

The distances have the ratio:

(C -A) = (2/3)(B -A)

C = (2/3)B +(1/3)A . . . . . add A

C = (2B +A)/3 . . . . . . . . combine terms

C = (2(4) +(-2))/3 = 6/3 = 2

The coordinate of C is 2.