Given the points a (-1,2) and (7,14), find the coordinates

Ответ:

Pandagurl2125

16.01.2022

Check the picture below.

$\bf \left. \qquad \right.\textit{internal division of a line segment}
\\\\\\
a(-1,2)\qquad b(7,14)\qquad
\qquad 1:3
\\\\\\
\cfrac{aP}{Pb} = \cfrac{1}{3}\implies \cfrac{a}{b} = \cfrac{1}{3}\implies 3a=1b\implies 3(-1,2)=1(7,14)
\\\\
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{ P=\left(\cfrac{\textit{sum of "x" values}}{r1+r2}\quad ,\quad \cfrac{\textit{sum of "y" values}}{r1+r2}\right)}$

$\bf -------------------------------\\\\
P=\left(\cfrac{(3\cdot -1)+(1\cdot 7)}{1+3}\quad ,\quad \cfrac{(3\cdot 2)+(1\cdot 14)}{1+3}\right)
\\\\\\
P=\left( \cfrac{-3+7}{4}~,~\cfrac{6+14}{4} \right)$

Given the points a (-1,2) and (7,14), find the coordinates of the point p on directed line segment a

Given the points a (-1,2) and (7,14), find the coordinates of the point p on directed line segment a

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Ответ:

merrymary3000

08.04.2023

Mathematics

Step-by-step explanation:

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Given the points a (-1,2) and (7,14), find the coordinates of the point p on directed line segment ab that partitions ab in the ratio 1: 3.

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