Question

PLEASE HELP!! I’m very confuse

Answer 1

Given:

A(16, 4)

B(34, 40)

Line segment AB partition in the ratio 1 : 5.

To find:

The coordinate of a point that partitions AB.

Solution:

Section formula:

$P(x,y)=\left(\frac{m x_{2}+n x_{1}}{m+n}, \frac{m y_{2}+m y_{1}}{m+n}\right)$

Here $x_1=16, y_1=4, x_2=34, y_2=40$ and m = 1, n = 5

$P(x,y)=\left(\frac{1\times 34+5 \times 16}{1+5}, \frac{1\times 40+5 \times4}{1+5}\right)$

$P(x,y)=\left(\frac{ 34+80}{6}, \frac{40+20}{6}\right)$

$P(x,y)=\left(\frac{ 114}{6}, \frac{60}{6}\right)$

$P(x,y)=(19, 10)$

The coordinate of point that partitions the segment AB is (19, 10).