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  4. If the slope of the line joining the points (3, 4) and (-2, a) is equal to -(2/5), then the value of a is equal to

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Q. If the slope of the line joining the points $(3, 4)$ and $(-2, a)$ is equal to $-\frac{2}{5}$, then the value of $a$ is equal to

KEAMKEAM 2012Straight Lines

Solution:

According to the given conditions
$\frac{a-4}{-2-3}=-\frac{2}{5} $
$\frac{a-4}{-5}=-\frac{2}{5} $
$a-4=2 \Rightarrow a=6$