Question

If a is (-8, 3) and c is (12, -4), find b if it is 2/5 the distance from a to c

Answer 1

(0, 1/5)

Explanation:

Since b is 2/5 of the distance from a to c, it is ...

b = a + 2/5(c -a) = 3/5a +2/5c

b = (3a +2c)/5 = (3(-8, 3) +2(12, -4))/5 = (-24+24, 9-8)/5 = (0, 1/5)

Point b is (0, 1/5).