Mathematics, 05.07.2019 22:00, kinkin79
Line segment ab has endpoints a(1, 4) and b(6, 2). find the coordinates of the point that divides the line segment directed from a to b in the ratio of 2: 3.
Answers: 1
![\bf ~~~~~~~~~~~~\textit{internal division of a line segment}\\\\\\A(1,4)\qquad B(6,2)\qquad\qquad \stackrel{\textit{ratio from A to B}}{2:3}\\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{2}{3}\implies \cfrac{A}{B} = \cfrac{2}{3}\implies 3A=2B\implies 3(1,4)=2(6,2)\\\\[-0.35em]~\dotfill\\\\C=\left(\frac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \frac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)\\\\[-0.35em]~\dotfill](/tpl/images/0055/5521/878ae.png)
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Line segment ab has endpoints a(1, 4) and b(6, 2). find the coordinates of the point that divides th...
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