Answer
All lines pass through the point $(-3,2)$
The graph is shown below:
Work Step by Step
The family of lines to be graphed is $y=2+m(x+3)$, where $m=0$ $,$ $\pm0.5$ $,$ $\pm1$ $,$ $\pm2$ $,$ $\pm6$
From the graph (attached below), it can be seen that although the lines have different slopes, they all pass through the point $(-3,2)$
