Question

The location of point D is (7,1) the location of point F is (5,4). Determine the location of point E which is 1/3 of the way from D to F

Answer 1

( 19/3 , 2 )

Explanation:

Given in the question,

point D(7,1)

x1 = 7

y1 = 1

point F(5,4)

x2 = 5

y2 = 4

Location of point E which is 1/3 of the way from D to F

which means ratio of point E from D to F is 1 : 2

a : b

1 : 2

xk =
`x1 + (a)/(a+b)(x2-x1)`

yk =
`y1 + (a)/(a+b)(y2-y1)`

Plug values in the equation

xk = 7 + (1)/(1+2) (5-7)

xk = 19/3

yk = 1 + (1)/(1+2)(4-1)

yk = 2