Question

Find the coordinates of the point of the trisection (points dividing in three equal parts of the line segments joining the points A(1,-2)and B(-3, -4)

Answer 1

Answer:

Your points are ( -1 / 3,  -8 / 3 ) and ( -5 / 3,  -10 / 3 )

Step-by-step explanation:

These are just weighted averages of A and B.

First point:

( 2A + B ) / 3

= ( ( 2×1 + -3 ) / 3,  ( 2×-2 + -4) / 3 )

= ( -1 / 3,  -8 / 3 )

Second point:

( A + 2B ) / 3

= ( ( 1 + 2×-3 ) / 3,  ( -2 + 2×-4 ) / 3 )

= ( -5 / 3,  -10 / 3 )