Question

Use the graph to help you answer this question

4
6
Point A(2, 1) partitions OR in the ratio of 3 to 2. The coordinates of point Q are (-4,-5). What are the coordinates of point R?
(-2,-3)
0 (4,3)
(6,5)
(0-2)

Answer 1

Coordinates of point R = (6,5)

Explanation:

Given;

Point A(2 , 1)

Q(-4 , -5)

m1:m2 = 3 : 2

Find:

Coordinates of point R

Computation:

X = [(m1)(x2) + (m2)(x1)] / (m1 + m2)

2 = [(3)(x2) + (2)(-4)] / (3 + 2)

2 = [3x2 - 8] / (5)

10 = [3x2 - 8]

3x2 = 18

x2 = 6

Y = [(m1)(y2) + (m2)(y1)] / (m1 + m2)

1 = [(3)(y2) + (2)(-5)] / (3 + 2)

1 = [3x2 - 10] / (5)

5 = [3x2 - 10]

3y2 = 15

y2 = 5

Coordinates of point R = (6,5)