find point p that partitions with a ratio of 1:3 where A(-4,3) and B(0,7)

Question

So far the only part solved is

X=-4+1/4•(4/1)

Y=3+1/4•(4/1)

Answer 1

p = (-3, 4) is 1/4 the way from A to B

you got it right

just simplify what you wrote

x= -4+ (1/(3+1))(0- -4) =-4 +(1/4)(4) = -4 +1= -3

y = 3 + (1/(3+1))(7-3) = 3+ (1/4)(4) = 3+1= 4

p = (x,y) = (-3, 4)