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If the points $A(5, k), B(-3,1)$ and $C(-7,-2)$ are collinear, then $\mathrm{k}=$
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2905 Upvotes
Verified Answer
The correct answer is:
$7$
Slope of $A B=$ Slope of $B C$
$$
\begin{array}{l}
\frac{1-k}{-3-5}=\frac{-2-1}{-7+3} \Rightarrow \frac{1-k}{-8}=\frac{-3}{-4} \\
\frac{1-k}{2}=-3 \Rightarrow k=7
\end{array}
$$
$$
\begin{array}{l}
\frac{1-k}{-3-5}=\frac{-2-1}{-7+3} \Rightarrow \frac{1-k}{-8}=\frac{-3}{-4} \\
\frac{1-k}{2}=-3 \Rightarrow k=7
\end{array}
$$
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