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

B) the second one for sure

Answer 2

Answer:

b.(-1,4)

Explanation:

We are given that the endpoints of RS are R(-5,12) and S(4,-6).

We have to find the coordinates of point T, which divides RS in to a ratio 4:5.

Section formula :$x=\frac{m_1x_2+m_2x_1}{m_1+m_2}$ and $y=\frac{m_1y_2+m_2y_1}{m_1+m_2}$

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

Substitute the values in the given formula

Then , the coordinates of point T

$x=\frac{4(4)+5(-5)}{4+5}=\frac{16-25}{9}=\frac{-9}{9}=-1$

and $y=\frac{4(-6)+5(12)}{4+5}=\frac{-24+60}{9}=\frac{36}{9}=4$

Therefore, the coordinates of T(-1,4).

Hence, option B is true.