Question

$\huge \mathfrak \color{green}{question} :$

Show that the points (6,4),(8,6) and (5,3) are collinear.​

Answer 1

$\huge \color{green}{\underbrace{\color{red}{Solution}}} :$

Let the given points A (6,4), B (8,6) and C (5,3).

For the points A, B and C to be collinear , Slope of AB = Slope of BC .

$\large \color{blue}{\boxed{ Slope,m= \frac{y2-y1}{x2-x1}}}$

$\large \star \sf Slope \: of \: AB = \frac{6-4}{8-6} \implies \frac{2}{2} = 1$

$\large \star \sf Slope \: of \: BC = \frac{3-6}{5-8} \implies \frac{-3}{-3} = 1$

Slope of AB = slope of BC

Therefore , the points A, B and C are collinear.

Answer 2

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