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?
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)
