Question

Does the point (2,6) lie on the line 4x-5y=22 ?

Answer 1

Answer:

4(2)-5(6)-22=0.

8-30-22 =0.

-44=0

Therefore (2,6) does not lie on the line 4x-5y=0.

Answer 2

No, the point does not lie on the given line 4x-5y=22. This can be proved in the ways as follows:

• To check whether a point lies on a line or not, one should check whether the given points satisfy the given line.

• If L.H.S = R.H.S , then point lies on the line, otherwise not.

• Here, L.H.S : 4x-5y   and    R.H.S : 22

• Considering L.H.S. first and putting the points (2,6) in the equation,

        = 4(2) - 5( 6)

        = 8 - 30

        = - 22

• Since L.H.S ≠ R.H.S

• Therefore, the point (2,6) does not lies on the line.