What is the slope of - 12x-3y=21

-4

Step-by-step explanation:

-12x-3y=21

We need to solve the equation for y to get it in slope intercept form

Add 12x to each side

-12x+12x-3y=12x+21

-3y = 12x+21

Divide each side by - 3

-3y/-3 = 12x/-3 + 21/-3

y = - 4x - 7

This is in slope intercept form (y = mx+b where m is the slope and b is the y intercept)

-4 is the slope and - 7 is the y intercept

-4

first you add 12x to both sides so it cancels out on the left

divide the whole equation by - 3 to get y by itself and put the equation in y=mx+b form

y=-4x - 7

-4 is the slope