Question

which one of the following points lies on the graph of 7x-6y= 1a. (-1,4)b. (2,9)c. (-2,-7)d. (3, 7)e. (1, 1)

Answer 1

To see if a pair of points (x, y) lies on the graph of the function 7x - 6y = 1, we need to evaluate each ordered pair in the equation:

`7x-6y=1`

a. (-1, 4):

`\begin{gathered} 7(-1)-6\cdot4=1 \\ -7-24=1 \\ -31\\e1 \end{gathered}`

a is not the answer:

b. (2, 9):

`\begin{gathered} 7\cdot2-6\cdot9=1 \\ 14-54=1 \\ -40\\e1 \end{gathered}`

b is not the answer.

c. (-2, -7)

`\begin{gathered} 7(-2)-6(-7)=1 \\ -14+42=1 \\ 28\\e1 \end{gathered}`

c is not the answer.

d. (3, 7):

`\begin{gathered} 7\cdot3-6\cdot7=1 \\ 21-42=1 \\ -21\\e1 \end{gathered}`

d is not the answer.

e. (1, 1)

`\begin{gathered} 7\cdot1-6\cdot1=1 \\ 7-6=1 \\ 1=1 \end{gathered}`

Thus, the answer is option e. (1, 1)