On a number line, the directed line segment from q to s has endpoints q at –14 and s at 2. point r partitions the directed line segment from q to s in a 3: 5 ratio. which expression correctly uses the formula to find the location of point r?

answer: with of section formula we can find the location of r.

explanation:

since, we know that, in the number line we always take y=0 thus, in the line segment qs, q≡(-14,0) and s≡(2,0)

and, according to the question, point r partitions line qs internally in a ratio of 3: 5.

but, we know if a point partitions a line segment with end points and in the ratio of

then, the x co-ordinate of the point =

and, the y co-ordinate of the point=

here, , and

thus, x co-ordinate of the point

y co-ordinate of the point r=

thus, the co-ordinates of r=(-8,0)

this is answer of 144 cubic meters