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Q)

Find the value of $m$ and $c$ if the straight line passes through the point $A(2,3)$ and $B(1,6)$.

$\begin{array}{1 1}(a)\;m=3,c=-9&(b)\;m=-3,c=9\\(c)\;m=4,c=8&(d)\;m=2,c=4\end{array}$

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A)
Equation of line passing through the points $(x_2,y_2)$ & $(x_1,y_1)$ is
$(y-y_1)=\large\frac{y_2-y_1}{x_2-x_1}$$(x-x_1)$
Hence equation of line will be
$(y-6)=\large\frac{6-3}{1-2}$$(x-1)$
$y-6=-3x+3$
$y+3x=9$
$y=9-3x$
Hence $m=-3,c=9$
Hence (b) is the correct answer.
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