Question

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

Explanation:

Step1: Recall y - intercept concept

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

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

Substitute \(x=0\) into \((x - 5)(-x + 4)=y\). We get \((0 - 5)(-0 + 4)=y\).

Step3: Calculate the value of \(y\)

\((-5)\times4=y\), so \(y=-20\). The y - intercept is the point \((0,-20)\).

Answer:

(0, - 20)