Question

Verify whether the points (-2,3), (4,2) and (10,1) are collinear or not.​

Answer 1

$\textbf{To check:}$

$\textsf{whether the given points are collinear or not}$

$\textbf{Solution:}$

$\textsf{Let the given points be A(-2,3), B(4,2), and C(10,1)}$

$\underline{\mathsf{Slope\;of\;AB:}}$

$\mathsf{=\dfrac{y_2-y_1}{x_2-x_1}}$

$\mathsf{=\dfrac{2-3}{4+2}}$

$\mathsf{=\dfrac{-1}{6}}$

$\underline{\mathsf{Slope\;of\;BC:}}$

$\mathsf{=\dfrac{y_2-y_1}{x_2-x_1}}$

$\mathsf{=\dfrac{1-2}{10-4}}$

$\mathsf{=\dfrac{-1}{6}}$

$\implies\mathsf{Slope\;of\;AB\,=\,Slope\;of\;BC}$

$\therefore\textsf{The given points are collinear}$

$\textbf{Find more:}$

Verify whether the points (3,-2,4),(1,0,-2)and (-1,2,-8) are collinear

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