find the y - intercept of the line 20x + 20y = - 10.\nwrite your answer as an integer or as a simplified…

Explanation:

Step1: Recall the definition of y - intercept

The y - intercept is the value of (y) when (x = 0).

Step2: Substitute (x = 0) into the equation

Substitute (x = 0) into (20x+20y=-10), we get (20\times0 + 20y=-10). So, (20y=-10).

Step3: Solve for (y)

Divide both sides of the equation (20y=-10) by (20), (y=\frac{-10}{20}). Simplify the fraction: (y =-\frac{1}{2}).

Answer:

(-\frac{1}{2})