Mathematics, 01.10.2019 02:00 CrystalMoreno
The points a(1, 4), b(5,1) lie on a circle. the line segment ab is a chord. find the equation of a diameter of the circle.
no idea how to do this.
Answers: 3
![\bf A(\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad B(\stackrel{x_2}{5}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{1}}}\implies \cfrac{-3}{4} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{slope of AB}}{-\cfrac{3}{4}}\qquad \qquad \qquad \stackrel{\textit{\underline{negative reciprocal} and slope of the diameter}}{\cfrac{4}{3}}](/tpl/images/0278/3201/a032b.png)
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The points a(1, 4), b(5,1) lie on a circle. the line segment ab is a chord. find the equation of a d...
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