Find the coordinates of point p that partition

Ответ:

joshuasanders7490

11.03.2022

Check the picture below.

$\bf \left. \qquad \right.\textit{internal division of a line segment}
\\\\\\
A(-8,13)\qquad B(2,-2)\qquad
\qquad 2:3\textit{ from A to B}
\\\\\\
\cfrac{AP}{PB} = \cfrac{2}{3}\implies \cfrac{A}{B} = \cfrac{2}{3}\implies 3A=2B\implies 3(-8,13)=2(2,-2)\\\\
-------------------------------\\\\
{ P=\left(\cfrac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \cfrac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)}\\\\
-------------------------------$

$\bf P=\left(\cfrac{(3\cdot -8)+(2\cdot 2)}{2+3}\quad ,\quad \cfrac{(3\cdot 13)+(2\cdot -2)}{2+3}\right)
\\\\\\
P=\left(\cfrac{-24+4}{5}~,~\cfrac{39-2}{5} \right)$

Find the coordinates of point p that partition ab in the ratio 2: 3 where a (-8,13) and b (2,-2)

Find the coordinates of point p that partition ab in the ratio 2: 3 where a (-8,13) and b (2,-2)

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Find the coordinates of point p that partition ab in the ratio 2: 3 where a (-8,13) and b (2,-2)

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