Question

determine the ( y )-intercept of the following equation. ((-5x + 20)(-4x - 4) = y)
answer
( (0, 4) ) and ( (0, -1) )
( (-80, 0) )
( (-4, 0) ) and ( (-1, 0) )
( (0, 80) )
( (4, 0) ) and ( (-1, 0) )
( (0, -80) )

Explanation:

Step1: Recall y-intercept definition

The y - intercept of a function \(y = f(x)\) is the point where \(x = 0\). So we substitute \(x = 0\) into the equation \(y=(- 5x + 20)(-4x - 4)\).

Step2: Substitute \(x = 0\) into the equation

Substitute \(x = 0\) into \((-5x + 20)(-4x - 4)\):
\[

$$\begin{align*} y&=(-5(0)+20)(-4(0)-4)\\ &=(0 + 20)(0-4)\\ &=20\times(-4)\\ &=- 80 \end{align*}$$

\]
So when \(x = 0\), \(y=-80\), and the y - intercept is the point \((0,-80)\).

Answer:

\((0, - 80)\)