Final answer:
To put the equation 4x - 3y = -21 into slope-intercept form, subtract 4x and move -21 to the other side of the equation. Divide both sides by -3 to solve for y.
Step-by-step explanation:
To put the equation 4x - 3y = -21 into slope-intercept form, we need to isolate y on one side of the equation. First, let's move the -21 to the other side by adding 21 to both sides:
4x - 3y + 21 = 0
Next, let's isolate y by subtracting 4x from both sides of the equation:
-3y = -4x + 21
Now, we can solve for y by dividing both sides of the equation by -3:
y = (4/3)x - 7
So, the equation 4x - 3y = -21 in slope-intercept form is y = (4/3)x - 7.