Point e is located at (−2,4) and point f is located at (5,10) . what are the coordinates of the point that partitions the directed line segment ef⎯⎯⎯⎯⎯ in a 7: 3 ratio? enter your answer, as decimals, in the boxes.

Solution:

Coordinates of Point E and F are (-2,4) and (5,10).

Suppose the Point M(x,y), divides the Line Segment Joining E (-2,4) and F (5,10) in the 7:3 ratio.

So, EM: MF= 7:3

Formula for internal Division

So,we get

x= 2.9

and , y= 8.2

x is variable or an unknown value to find

example:

2x = 5 which means x = 3

10 miles

step-by-step explanation: