The segment joining (2.4), (9, 3) is divided into two segments, one of which is three fourths as long as the other. Find the point of division. Ans (6.0) and (5.-1)

1 answer

distance between = d
a + 3 a/4 = d
7 a/4 = d
so
a = (4/7)d
x = 2 + (9-2)(4/7) = 2 + 4 = 6
y = 4 +(3-4) (4/7)
y = 4 - 4/7 = (28-4)/7 = 24/7 = 3.43