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?

A. (8.20, 5.20)

B. (7.17, 5.83)

C. (6.60, 6.40)

D. (9.80, 4.20)

Answer 1

To find the coordinates of point R that divides EF in a 1:5 ratio, we can use the formula R = ((5 * Ex) + (1 * Fx)) / (5 + 1), ((5 * Ey) + (1 * Fy)) / (5 + 1). Plugging in the coordinates of E and F, we find that R is (7.17, 5.83).

Step-by-step explanation:

To find the coordinates of point R, we need to find the point that divides the line segment EF in the ratio 1:5. We can use the formula:

R = ((5 * Ex) + (1 * Fx)) / (5 + 1), ((5 * Ey) + (1 * Fy)) / (5 + 1)

Plugging in the coordinates of E and F, we get R = ((5 * 4) + (1 * 11)) / 6, ((5 * 8) + (1 * 4)) / 6 = (7.17, 5.83).