Question

HELP ASAP

What are the x- and y-coordinates of point C, which partitions the directed line segment from A to B
into the ratio 5:8? Round to the nearest tenth, if necessary.

(-2.2, -6.3)

(2.7, -0.7)

(-2.4, -0.4)

(1.2, -4.5)​

Answer 1

(1.2,-4.7)

Explanation:

To write the dimensions of point C in the required ratio, we use the mathematical equation as follows;

({mx2 + nx1/(m+n)} , {my2 + ny1/(m+ n)})

In this particular question,

(m,n) = (5,8)

((x1,y1) = (7,-2)

(x2,y2) = (-8,-9)

Plugging these values into the equation written above, we have

[{5(-8) + 8(7)}/(5+8), {5(-9) + 8(-2)}/(5+8)]

= (-40+56)/13, (-45-16)/13)

= (16/13), (-61/13)

= (1.23, -4.69)

These rounded to the nearest tenth gives (1.2, -4.7)