Given the equation : y = -2x + 11, we can re-write the equation as
[tex]y\text{ + 2x = 11}[/tex]The possible solutions to the equation can be obtained by assuming different values of x and then substituting each value into the function to get y.
when x = 0,
[tex]y\text{ = 11}[/tex]when x = 1
[tex]\begin{gathered} y\text{ = 11 - 2} \\ =\text{ 9} \end{gathered}[/tex]when x =3
[tex]\begin{gathered} y\text{ = }11\text{ - 3 }\times\text{ 2} \\ =\text{ 5} \end{gathered}[/tex]when x = 4
[tex]\begin{gathered} y\text{ = 11 - 2 }\times\text{ 4} \\ =\text{ 3} \end{gathered}[/tex]Hence, the possible solutions are (0,11) , (1,9), (3,5) and (4,3)
