Find the coordinates of the point seven tenths of the way from A to B.

Question

the coordinates of b is (10,7)

the coordinates of a is (-3,-6)

Answer 1

The abscissa is .7*7 + (.3)(3)= 6.1

The ordinate is .7*7 + (.3)(-6) = 3.1

and a graph will confirm this.

Note that the general formula is not difficult to derive using some simple geometry in a right triangle.