Find the point that is one-fourth of the way from (2,4) to (10,8).

Answer 1

let the point be (x,y)
x-2 = (1/4)(10-2)
4x-8 = 8
5x = 16
x = 4

y-4 = (1/4)(8-4)
4y-16 = 4
5y = 20
y = 5

the point is (4 , 5)

check: length between (2,4) and (4,5)
= √(2^ +1^2) = √5

length between (2,4) and (10,8)
= √(8^2 + 4^2) = √80 = 4√5

my answer is correct