======================================================
Explanation:
The point (-5,-8) means x = -5 and y = -8 pair up together.
Let's plug those values into the inequality
y > 3x+6
y > 3(-5)+6 .... replace x with -5
-8 > 3(-5)+6 ... replace y with -8
-8 > -15+6
-8 > -9
The last inequality is true. The value -8 is larger than -9 since -8 is to the right of -9 on a number line. Stuff on the right is larger than stuff on the left.
Since the last inequality is true, this means the first inequality is true when (x,y) = (-5,-8). Therefore (-5,-8) is a solution.
