Answer:
The coordinates of P is (-1,5.5)
Explanation:
Here, we want to find the coordinates of the point that divides the segment into the ratio 1 to 3
To do this, we are going to use the section formula
We have this as;
(x,y) = (nx1 + mx2)/m+ n, (ny1 + my2)/m + n
where m = 1 , n = 3
(x1,y1) = (-3,4)
(x2,y2) = (5,10)
Substituting these values, we have;
(x,y) = (3(-3) + 1(5)/4 , (3(4) + 1(10)/4
(x,y) = (-9+ 5)/4 , (12 + 10)/4
(x,y) = (-1, 5.5)