If there was no equal sign, you will use a dotted line.
Because of the equal sign, you will use a non-dotted line.
y <= -4/9 x - 3
We already know one point on the line. It is the y-intercept, (0,-3). We know this because the equation is in slope-intercept format...
m is the slope, -4/9.
b is the y-intercept.
Begin with the y-intercept. Then, the slope will function as 4/-9. You will move up, positively, 4 points on the y-axis, and then to the left, negatively, 9 points on the x-axis. Then extend the line. Then, you will shade the area to the left.