By using slope method, show that the points P(4,8) Q(5, 12) and R… - Vidyadip

Question

By using slope method, show that the points P(4,8) Q(5, 12) and R(9, 28) are collinear.

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Answer

The given points are $P\left(x_1, y_1\right)=(4,8), Q\left(x_2, y_2\right)=$ $(5,12)$ and $R\left(x_3, y_3\right)=(9,28)$.
$\therefore$ Slope of line $P Q, \quad m_1=\frac{12-8}{5-4}=4$
and Slope of line PR, $m_2=\frac{28-8}{9-4}=4$
Since, slope of PQ = Slope of PR.
$\therefore$ The points P, Q and R are collinear.

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