Answer :
y=3x+6
2x+y=-9
Substitute first equation into second equation to solve for x first .
2x+3x+6=-9
5x+6=-9
5x=-9-6
5x= -15
X= -15/5
X= -3
Now substitute x answer to solve for y .
y=3x+6
Y= 3(-3)+6
Y= -9+6
Y= -3
Solution is (-3,-3) this is your intersection point.
To check
y=3x+6
-3= 3(-3)+6
-3= -9+6
-3= -3
2x+y=-9
2(-3)+(-3)=-9
-6-3=-9
-9=-9
To graph plug in points for x to find y etc. Need help with it i can go further. This should start you of
Heres first equation
y=3x+6
If x is 2
Y= 3(2)+6
Y= 6+6
Y= 12
So one point (2,12)
Y=3(-2)+6
Y=-6+6
Y= 0
Another point (-2,0)
Continue on and then do same for second equation