Question

Point A has coordinates (-5, 3). If point (1, 6) is 3/4ths of the way from A to B, what are the coordinates of point B

Answer 1

(3,7)

Explanation:

I just got it right

Answer 2

(3, 7)

Explanation:

Let's say that the intermediate point is P. Then we have ...

P - A = (3/4)(B - A)

(4/3)(P -A) = B - A . . . . . . . . . multiply by 4/3

(4/3)P -(4/3)A + A = B . . . . . . add A

(4P -A)/3 = B . . . . . . . . . . . . . simplify

Then the coordinates of point B are ...

B = (4(1, 6) -(-5, 3))/3 = (9, 21)/3

B = (3, 7)