Question

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

Answer 1

2

Step-by-step explanation

Given:

1. ratio = 4:1

2. Points C(9, 6) and D(5, 1)

Desired Result:

Point of division.

Using the formula for Point of division

`((n\cdot x_1+m\cdot x_2))/(m+n),((n\cdot y_1+m\cdot y_2))/(m+n)`

where:

x1 = 9

x2 = 5

y1 = 6

y2 = 1

Deteremine the Y-value

`\begin{gathered} ((1*6+4*1))/(4+1) \\ =(6+4)/(5) \\ =(10)/(5) \\ =2 \end{gathered}`

Hence, the Y value for the point that divides the line segment CD into a ratio of 4:1 is 2