Question

Find the point P along the directed line segment from point E(10,-11) to point F(-4, 10) that divides the segment in the ratio 5:2.​

A) (3, 1)
B) (0, -2)
C) (2, 3)
D) (5, 4)

Answer 1

To find the point P that divides the line segment EF in the ratio 5:2, we can use the formula for dividing a line segment given two points.

Step-by-step explanation:

To find the point P that divides the line segment EF in the ratio 5:2, we first need to determine the coordinates of P. We can use the formula for dividing a line segment given two points:

Let's assign the coordinates of point P as (x,y). Using the ratio 5:2, we find that:

x = (2*10 + 5*(-4))/(5+2) = 3

y = (2*(-11) + 5*10)/(5+2) = 1

Therefore, the coordinates of P are (3,1), which corresponds to option A.