The coordinates of $4$ points are $O\left( 0,0 \right)$, $A\left( 2,k \right)$, \(B\left( 2k,9

Question

The coordinates of $4$ points are $O\left( 0,0 \right)$, $A\left( 2,k \right)$, $B\left( 2k,9 \right)$ and $C\left( 3k,2k+7 \right)$. Find the value(s) of $k$ if the points $O$, $A$ and $B$ are collinear, $OA$ is parallel to $BC$.

Accepted Answer

$\text{(a) }k=3\text{ or }k=-3$ $\text{(b) }k=2$

Gradients of Colinear Points and Parallel Lines

Gradients of Colinear Points and Parallel Lines

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