ANSWER
2
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
[tex]\frac{(n\cdot x_1+m\cdot x_2)}{m+n},\frac{(n\cdot y_1+m\cdot y_2)}{m+n}[/tex]
where:
x1 = 9
x2 = 5
y1 = 6
y2 = 1
Deteremine the Y-value
[tex]\begin{gathered} \frac{(1\times6+4\times1)}{4+1} \\ =\frac{6+4}{5} \\ =\frac{10}{5} \\ =2 \end{gathered}[/tex]
Hence, the Y value for the point that divides the line segment CD into a ratio of 4:1 is 2
