For help, khan academy is just the place.
First convert to slope-intercept form:
y=mx+b
m=slope
b=y-intercept
Y-3=3(x+1)
y-3=3x+3
+3 +3
y=3x+6
1. m=3
2. (-1,3):
Point slope form (the form the equation was in):
y-y1=m(x-x1)
y-(3)=3(x-(-1))
x1=-1
y1=3
(-1,3)
3. y=3x+6, figured that out abovve
4. b=6
5.3x-y=-6:
y=3x+6
-6-y -6-y
-6=3x-y
6.-2
Graph it. It's pretty simple. If you can't, the formula is:
-(b/m) (Actually, I don't know if there is a formula, but this will still work.)
b=6
m=3
-(6/3)=-2
If you took the time to read all of that, you should have at least a basic understanding of your homework.