If 3x+4y=14, express y in terms of x.check wheather (3,-2) is a point on the given line.
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The given line is
3x + 4y = 14 ...(i)
⇒ 4y = 14 - 3x
⇒ y = (14 - 3x)/4,
which is the required expressed form of the given equation.
Now, if the point will lie on the straight line (i), then satisfying the L.H.S of (i), we will get the R.H.S. of (i).
So, let us check.
Now, L.H.S. of (i)
$ = 3 (3) + 4 (-2) $
$ = 9 - 8 $
$ = 1 $,
which is not equal to the R.H.S. of (i).
Thus, the point does not lie on the given line.
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