Question

Using the image below, 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

A. 2 is correct. I took the test. 

Answer 2

The y value for the point that divides the line segment CD into a ratio of 4:1 is 2. So, the correct option is A).

Given :

• The line segment CD divided into a ratio of 4:1.
• Point C(9,6) and Point D(5,1).

Solution :

We know that when the division of segment between C($x_1,y_1$) and D($x_2,y_2$) in a ratio a:b then the coordinates of point of division is given by,

$(x_1+(x_2-x_1)\times\dfrac{a}{a+b}\;,\; y_1+(y_2-y_1)\times\dfrac{a}{a+b})$

$= (9+(5-9)\times\dfrac{4}{5}\;,\; 6+(1-6)\times\dfrac{4}{4+1})$

$=(9-\dfrac{16}{5}\;,\; 6-4)$

$=(\dfrac{29}{5}\;,\; 2)$

Therefore, the y value for the point that divides the line segment CD into a ratio of 4:1 is 2. So, the correct option is A).

For more information, refer the link given below

https://brainly.com/question/13262690