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

b.(-1,4)

Step-by-step 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=(m_1x_2+m_2x_1)/(m_1+m_2)` and
`y=(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=(4(4)+5(-5))/(4+5)=(16-25)/(9)=(-9)/(9)=-1`

and
`y=(4(-6)+5(12))/(4+5)=(-24+60)/(9)=(36)/(9)=4`

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

Hence, option B is true.