find the y - intercept of the line 12x - 3y = - 24. write your answer as an integer or as a simplified…

find the y - intercept of the line 12x - 3y = - 24. write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

find the y - intercept of the line 12x - 3y = - 24. write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

Answer

Explanation:

Step1: Recall the definition of y - intercept

The y - intercept occurs when (x = 0).

Step2: Substitute (x = 0) into the equation

Substitute (x = 0) into (12x-3y=-24), we get (12\times0 - 3y=-24). Simplify the left - hand side: (-3y=-24).

Step3: Solve for (y)

Divide both sides of the equation (-3y=-24) by (-3). (y=\frac{-24}{-3}).

Answer:

(8)