Standard form is ax+by=c.
First, you should distribute to get rid of all parenthesis and grouping symbols.
13) y-5=-3(x+2)
y-5= -3x-6
Now, we want to move all variables to one side.
y-5= -3x=6
+3x +3x
y+3x-5=6
Now, move the constants to the other side.
y+3x-5=6
+5 +5
y+3x=11
Finally, rearrange to put x before y.
3x+y=11
Do this for the rest of the problems. I'll solve them without the words, but refer to the above example if you get lost.
14) y+1=4/5(x-5)
y+1=4/5x-4
y-4/5x+1= -4
y-4/5x= -5
-4/5x+y= -5
15) 0=x-4
x-4=0
x=4
(nothing much to do here because of the lack of variables)
16) y-3 = -1/2(x+4)
y-3= -1/2x-2
y+1/2x-3 = -2
y + 1/2x = 1
1/2x+y=1
17) y-4=1/3(x+3)
y-4=1/3x+1
y-1/3x-4=1
y-1/3x=5
-1/3x+y=5
18) y+5=3(x+3)
y+5=3x+9
y-3x+5=9
y-3x=4
-3x+y=4
hope this helps! please comment if you have any questions, and i'll answer to the best of my abilities