Express y in terms of x from the equation 3x + 2y =8 and check whether the point {4,-2} lies on the line.

Equation (1) represents *y* in terms of *x*.

Again the given equation is

3*x* + 2*y *= 8 ... (2)

To check whether the point (4, –2) lies on the line, put corresponding values of *x* and *y* in (2)

3 (4) + 2 (–2) = 8

⇒ 12 – 4 = 8

⇒ 8 = 8

So L. H. S = R. H. S, Hence the given point lies on the line.

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