Question

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

Answer 1

Answer:

(- 5/3, 2), (- 1/3, 0)

Step-by-step explanation:

Draw the segment PQ, where P(-3,4) and Q(1,-2).

Draw right triangle QP$P_{3}$

Divide segment P$P_{3}$ into 3 equal parts, $P_{1}$ (-3, 2), $P_{2}$ (-3, 0), $P_{3}$ (-3, -2)

Draw parallel to x-axis lines trough $P_{1}$ , $P_{2}$ , $P_{3}$ , points $Q_{1}$ and $Q_{2}$ divide segment PQ into 3 equal parts.

$Q_{1}$ (- $\frac{5}{3}$ , 2) and $Q_{2}$ (- $\frac{1}{3}$ , 0)