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.

Hence, the coordinates of a point that divides the line segment CD in the ratio 4:1 is:

(5.8,2).

Step-by-step explanation:

We are given that a  point divides the line segment CD into a ratio of 4:1.

Let B be the point that divides the line segment CD in the ratio 4:1.

We know that if any point Z(e,f) divides the line segment X(a,b) Y(c,d) in the ratio m:n then the coordinates of the point Z is given by:

and .

Here we have Z=B

X(a,b)=C(9,6) and Y(c,d)=D(5,1).

Hence, the coordinates of B are:

Hence, the coordinates of a point that divides the line segment CD in the ratio 4:1 is:

(5.8,2).

b

step-by-step explanation: