Question

The endpoints of RS are R(–5, 12) and S(4, –6). What are the coordinates of point T, which divides RS into a 4:5 ratio?

Answer 1

Answer:

B. (-1,4) is your answer (got it right on e2020)

Answer 2

Answer:

Option 2 is correct that is (-1,4)

Step-by-step explanation:

We will use the section formula to find the coordinates of T

Formula is $(x,y)=\frac{m_1x_2+m_2x_1}{m_1+m_2},\frac{m_1y_2+m_2y_1}{m_1+m_2}$

Here, $m_1=4,m_2=5,x_1=-5,y_1=12,x_2=4,y_2=-6$

On substituting the values in the formula we get

$(x,y)=\frac{4\cdot 4+5\cdot -5}{4+5},\frac{4\cdot -6+5\cdot 12}{4+5}$

$\Rightarrow (x,y)=\frac{4\cdot 4+5\cdot -5}{4+5},\frac{4\cdot -6+5\cdot 12}{4+5}$

$\Rightarrow (x,y)=\frac{16-25}{9},\frac{-24+60}{9}$

$\Rightarrow (x,y)=\frac{-9}{9},\frac{36}{9}$

$\Rightarrow (x,y)=(-1,4)$

Therefore, option 2 is correct that is (-1,4)