in form y=mx+b
m=slope
b=y intercept
allso
in form ax+by=c
slope=-a/b
y intercept=c/b
see each one
A.
-2x+3y=-15
slope=-(-2)/3=2/3
yint=-15/3=-5
correct
B. slope=2/3
yint=-5
correct
C. divide both sides by 6 to get to slope intercept form
y=4/5x-5
y=2/3x-5
correct
D. distribute
y+3=2/3x-2
minus 3
y=2/3x-5
correct
all of them are correct