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  4. The slope of the line joining the points (k-4,3) and (-5,7) is 4 . Find k.

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Q. The slope of the line joining the points $(k-4,3)$ and $(-5,7)$ is 4 . Find $k$.

Coordinate Geometry

Solution:

$ \text { Slope }=\frac{7-3}{-5-k+4} $
$\Rightarrow 4=\frac{7-3}{-5-k+4} $
$ \Rightarrow-4 k-4=4 \Rightarrow-4 k=8 \Rightarrow k=-2$