The end points of the directed line segment ab are a(-1,2) and b(7,8). find the coordinates if point p along ab so the ratio of ap to pb is 1 to 3.

The given endpoints are A (-1, 2) and B (7, 8).

Let the coordinates of P be (x,y)
Because AP:PB = 1:3, therefore

Cross multiply.
3(x+1) = 7 - x
3x + 3 = 7 - x
4x = 4
x = 1

Also,

Cross multiply.
3(y - 2) = 8 - y
3y - 6 = 8 - y
4y = 14
y = 7/2

The coordinates of P are (1, 7/2)

Why are u not just putting the numbers this is to much