Answer: See the graph attached.
Step-by-step explanation:
The equation of the line in slope-intercept form is:
[tex]y=mx+b[/tex]
Where:
m: slope.
b: y-intercept.
Solve for y:
[tex]-6x-3y<-18\\-3y<6x-18\\\\y<\frac{6x}{3}-\frac{18}{3}\\\\-y<2x-6\\[/tex]
When you multiply by -1, the direction of the symbol changes. Then:
[tex](-1)-y<(2x-6)(-1)\\y>-2x+6[/tex]
Then:
-You must graph the line:
[tex]y=-2x+6[/tex]
Which has the slope -2 and intersects the y-axis at y=6
(The line is dashed for symbols < and > )
- Shade the region above the line (Because the symbol is >)
Therefore, you obtain the graph shown attached.
