y= mx+b
m is also the slope
b is the y-intercept
-4x+3y=15
move -4x to the other side
sign changes from -4x to +4x
-4x+4x+3y= 4x+15
3y= 4x+15
divide both sides by 3 to get y by itself
3y/3= 4x/3+15/3
y= 4x/3+5
answer:
slope= 4/3
