Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar. The endpoints of AB are A(1,4) and B(6,-1). If point C divides AB in the ratio 2 : 3, the coordinates of point C are (_,_). If point D divides AC in the ratio 3 : 2, the coordinates of point D are (_,_). help plz!

- The coordinates of C is (3,2)

-  The coordinates of D is (11/5,14/5)

Step-by-step explanation:

Given

A(1,4) and B(6,-1)

Required

a. Point C divide AB in ratio 2:3

b. Point D divide AC in ratio 3:2

When endpoints are divided into ratios, the formula to calculate the coordinates is;

Solving for (a): Point C divide AB in ratio 2:3

The ratio;

For Point A;

For Point B;

Substitute m,n,x1,x2,y1,y2 in the ratio formula given above;

The coordinates of C is (3,2)

Solving for (b): Point D divide AC in ratio 3:2

Using the same steps as (a) above;

The ratio;

For Point A;

For Point C;

Substitute m,n,x1,x2,y1,y2 in the folowing ratio formula;

The coordinates of D is (11/5,14/5)

answer: the answer is e

step-by-step explanation: