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

3x + 2y = 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.

  • 17

 x = 4,  y = -2

3x + 2y = 8

3 * 4 + 2 * -2 = 8

12 - 4 = 8

LHS = RHS.

Hence the point (4,-2) lies on the line.

  • 3

3X+2Y=8

3x-8=2y

3*4-8=2*(-2)

12-8=4

4=4

hence d point lies on line

  • 1

3x + 2y = 8. 2y = 8-3x . so y = 8-3x/2 .NOW PUT X=4 & Y = -2,IF THE EQUATION BALANCES , THEN THESE POINTS LIE ON THE LINE.

  • 1
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