Question

Find the y value for the point that divides the line segment CD into a ratio of 4:1.

Segment CD is shown. C is at 9, 6 and D is at 5, 1.

2
6.2
3
2.8

Answer 1

2 is correct

Step-by-step explanation: I got it right on test

Answer 2

Y = 2

Explanation:

For point (x1,y1) and (x2,y2) on coordinate plane if is divided in ratio of m:n.

Then point of division is given by

(n*x1+m*x2)/ m+n, (n*y1+m*y2)/ m+n

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Given point

c = (9,6)

d = (5,1)

ratio = 4:1

using the above formula , point of division is

x= (1*9+4*5)/ 4+1 y= (1*6+4*1)/ 4+1

x= (9+20)/ 5 y= (6+4)/ 5

x= 29/ 5 y= 10/ 5 =2

Thus, answer is y = 2