Explanation:
First we have to turn this from standard form to slope-intercept form.
We'll subtract 3x on both sides to get:
Now in order to graph this inequality, you must know that:
- 9 is the y-intercept (the point where the line crosses the y-axis), and -3 is the slope because it goes down 3 units and to the right 1 unit.
- The shaded area will be above the line since y is greater.
- The line will be negative and have a negative slope.
- The line will be dotted since the sign is greater-than, not greater-than-or-equal-to.
(The line will be graphed above for your convenience⤴⤴⤴)
Hope this helps :)