Answer
All lines pass through the point $(3,0)$
The graph is shown below:
Work Step by Step
The family of lines to be graphed is $y=m(x-3)$, where $m=0$ $,$ $\pm0.25$ $,$ $\pm0.75$ $,$ $\pm1.5$
From the graph (attached below), it can be seen that although the lines have different slopes, they all pass through the point $(3,0)$