Question

Point R divides 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?

Answer 1

I'll assume that the point R is between E anf F, this is known as internal division...

a simple method is to plot the information...



so there are 6 units in the ratio 1:5 or 1 + 5 = 6

Answer 2

divide the vertical distance and horizontal distances between the 2 points by 6



now apply the ratio to the vertical and horizontal parts of the interval

1 vertical unit = distance/6 or 4/6

1 horizontal unit = distance/6 or 7/6

so then given the ratio is 1:5

the point R is 1 horizontal unit to the right of E

and 1 vertical unit below E

this should allow you to find the coordinates of R

hope it makes sense