Question

What are the coordinates of the point on the directed line segment from ( − 4 , 10 ) (−4,10) to ( 2 , − 10 ) (2,−10) that partitions the segment into a ratio of 1 to 3

Answer 1

Answer:

$Z=(-2.5,5)$

Step-by-step explanation:

From the question we are told that

Point $a=(-4,10)$

Point $b= (2,-10)$

Ratio $r=1:3$

Generally the section formula is mathematically given as

$x=\frac{m_1x_2+m_2x_1}{m_1+m_2}$

$y=\frac{m_1y_2+m_2y_1}{m_1+m_2}$

Generally the point P(x,y) is mathematically given as

$x=\frac{1(2)+3(-4)}{1+3}$

$x=-2.5$

$y=\frac{(1)(-10)+(3)(10)}{1+3}$

$y=5$

Required Co-ordinates Z is

$Z=(-2.5,5)$