What is the slope of the line - 4x+3y=15

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