Which ordered pair is on the graph of the equation 3x+7y=11?

(6,-1)
(1,-2)
(0,-4)
(0,4)

Answer with Step-by-step explanation:

We are given a equation:

3x+7y=11

We are asked which point lies on its graph

Putting x=6 and y= -1

3x+7y=3×6+7×(-1)

        = 18-7

        = 11

Hence, (6, -1)  lies on the graph of 3x+7y=11

Putting x=1 and y= -2

3x+7y=3×1+7×(-2)

        = 3-14

        = -11

Hence, (1, -2) does not lie on the graph of 3x+7y=11

Putting x=0 and y= -4

3x+7y=3×0+7×(-4)

        = -28

Hence, (0, -4) does not  lie on the graph of 3x+7y=11

Putting x=0 and y= 4

3x+7y=3×0+7×4

        = 28

Hence, (0, 4) does not  lie on the graph of 3x+7y=11