Question

Find the coordinates of points which trisect the
line segment joining (1, -2) and (-3, 4).​

Answer 1

Step-by-step explanation:

let the line segment intersected at the ratio m:n

so

$coordinator = \frac{mx2 + nx1}{m + n} and \frac{my2 + ny1}{m + n}$

$\frac{m \times ( - 3) + n \times 1}{m + n} and \: \frac{m \times 4 + n \times ( - 2)}{m + n}$

${\frac{ - 3m + n}{m + n} }{ \frac{4m - 2n}{m + n} }$

$\frac{ - 3(m + n)}{m + n} \frac{ - 2(2m + n}{m + n}$

$( - 3) nd \: (- 4)$