Question

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

Answer 1

that is point of trisection means a point that divide the line in the ratio 2:1 or 1:2

so I consider m:n as 2:1

Answer 2

Let m:n = 2:1$p(x1 \: y1) = (3 \: - 2) \\ q(x2 \: y2) = ( - 3 - 4) \\ 3(x \: y) \\ (mx2 + nx1 \div m + n \: my2 + ny1 \div m + n) \\ (2( - 3) + 1(3) \div 2 + 1 \: 2( - 4) + 1( - 2) \div 2 + 1) \\ (6 + 3 \div 3 \: - 8 - 2 \div 3) \\ ( - 3 \div 3) \: - 10 \div 3) \\ ( - 1 \: - 10 \div 3)$Hope it helps☺️

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