Question

Point R divides Line EF in the ratio 1 : 5. If the coordinates of E and F are (4, 8) and

(11, 4), respectively, what are the coordinates of R to two decimal places?


(4.66, 7.62)



(6, 6.86)



(5.17, 7.33)



(9.83, 4.67)

Answer 1

Answer: 3rd option correct on plato

Explanation:

Answer 2

The horizontal distance between E and F is:
dx = 11 - 4 = 7

The vertical distance between E and F is:
dy = abs (4 - 8) = 4

Since the ratio is 1:5, that means there are 6 equal parts of line EF. Dividing the distances by 6,
dx/6 = 1.1667
dy/6 = 0.6667

Since point R is located below and to the right of point E, we add dx/6 to the x coordinate and subtract dy/6 from the y coordinate of E:
R(4+1.1667, 8-0.6667) = R (5.17, 7.33)

The answer is the 3rd option.