Question

find the coordinates of the point of trisection of the line segment joining the points A=(-5,6) and B=(4,-3)




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Answer 1

so the answers are (-2,3) and (1,0) .

Answer 2

Answer:

The coordinates of point of intersection are (-2,3) and (1,0)

Step-by-step explanation:

Given the coordinates of line segment A(-5,6) and B(4,-3) we have to find the coordinates of trisection of line segment.

Let C(a,b) and D(x,y) are the points which trisect the line segment i.e

AC=CD=DB

By mid point formula,

The coordinates of point C and D respectively

$(\frac{-5+x}{2},\frac{6+y}{2})=(a,b)\\\\(\frac{a+4}{2},\frac{b-3}{2})=(x,y)$

∴ $\frac{-5+c}{2}=a,\frac{6+d}{2}=b\\\\\frac{4+a}{2}=c,\frac{-3+b}{2}=d$

Solving above equations, we get

a=-2, b=3 and x=1, y=0

Hence, the coordinates of point of intersection are (-2,3) and (1,0)