Part 1
For the given equation [tex]3x-2y=-18,[/tex] complete the table:
1) when x=0, then
[tex]3\cdot 0-2y=-18,\\ -2y=-18,\\ y=9;[/tex]
2) when y=0, then
[tex]3x-2\cdot 0=-18,\\ 3x=-18,\\ x=-6;[/tex]
3) when x=2, then
[tex]3\cdot 2-2y=-18,\\ -2y=-24,\\ y=12;[/tex]
4) when x=4, then
[tex]3\cdot 4-2y=-18,\\ -2y=-30,\\ y=15.[/tex]
Therefore, the table is
[tex]\begin{array}{ccccc}x&0&2&4&-6\\y&9&12&15&0\end{array}[/tex]
With these data you can plot the graph of the function (see 1st diagram).
Part 2
The graph of the function y=4x is represented in the second diagram. The slope of the line is m=4.
