Answer :
Consider that on a coordinate plane-xy, the x-values increase from left to right, and y-values increase from bottom to up.
Given that the linear graph passes through (1,1).
It is given that the graph goes 3 units up for every 2 units right. This can also be understood as the graph goes 3 units down for every 2 units left.
From the point (1,1), the x-value corresponding to 2 units left is given by,
[tex]\begin{gathered} x=1-(2) \\ x=-1 \end{gathered}[/tex]Similarly, from the point (1,1), the y-value corresponding to 3 units down is given by,
[tex]\begin{gathered} y=1-(3) \\ x=-2 \end{gathered}[/tex]So the point (-1,-2) must also lie on the same linear graph.
Therefore, option (b) is the correct choice.