Answer:
[tex]m=-\frac53; q=-2[/tex]
Step-by-step explanation:
Let's bring the line in the classical [tex]y=mx+q[/tex] form
[tex]3y= -5x-6\\y=-\frac53 x -2[/tex]
At this point we have the two values [tex]-\frac53[/tex] for the slope and [tex]2[/tex] for the intercept