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