y=x+5 in standard form is -x+y=5
-4x+2y=6 in slope intercept form is 2y=4x+6 which you then simplify into y=2x+3 by dividing by two to isolate y
-2x+y=1 in slope intercept form is y=2x+1
y=-1/2x-2 in standard form is 1/2x+y=-2
To graph them, use the slope intercept form. The number in front of x is the slope and the number after x is the y-intercept.