Answer:
The coordinates of L is (11, 5)
Step-by-step explanation:
Points to remember
Let (x1, y1) and (x2, y2) be the points and P (x, y) be the points in which its divide the line segment in the ratio p : q,the coordinates of P is given by,
x = x1 + p/(w)(x2 - x1)
y = y1 + p/w(y2 - y1)
Where w = p + q
To find the coordinates of L(x, y)
Here, (x1, y1) = N(14, 4) and (x2, y2) = M(2, 8)
p = 1 and w = 1+3 = 4
x = x1 + p/(w)(x2 - x1)
= 14 + (1/4)(2 - 14)
= 14 + -3 = 11
y = y1 + p/w(y2 - y1)
= 4 + (1/4)(8 - 4)
= 4 + 1 = 5
Therefore the coordinates of L is (11, 5)
