Question

What are the coordinates of the point on the directed line segment from (−8,−6) to (-1, 8) that partitions the segment into a ratio of 5 to 2?

Answer 1

Answer:

(-3, 4)

Step-by-step explanation:

let the point P(x, y)

x = (5/7 × (-1+8)) + (-8)

= (5/7 × 7) -8 = 5-8 = -3

y = (5/7 × (8+6)) + (-6)

= (5/7 × 14) -6 = 10-6 = 4

so, P => (-3 , 4)

Answer 2

$\\ \rm\Rrightarrow M(x,y)$

$\\ \rm\Rrightarrow\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)$

$\\ \rm\Rrightarrow\left(\dfrac{-5-16}{7},\dfrac{40-12}{7}\right)$

$\\ \rm\Rrightarrow\left(\dfrac{-21}{7},\dfrac{28}{7}\right)$

$\\ \rm\Rrightarrow(-3,4)$