The graph of the inequality equation 3y-5x>-6 will have a dotted line and shaded left wards (Option D).
How to graph the inequality equation?
The graph of the inequality equation given is sketched by simplifying the equation as shown below;
The given inequality equation;
3y - 5x > - 6
3y > 5x - 6
y > 5x/3 - 2
when x = 0, the value of y becomes;
3y - 5x > - 6
3y - 0 > - 6
y > - 2
when y = 0, the value of x is calculated as;
3y - 5x > - 6
0 - 5x > - 6
x < 6/5
The graph of the inequality equation 3y - 5x > - 6 is shown in the image attached.