Question

determine the y - intercept of the following equation. (x - 5)(x + 2)=y
answer
(0,10) (5,0) and (-2,0)
(0, - 10) (-5,0) and (-2,0)
(-10,0) (0,5) and (0, - 2)

Explanation:

Step1: Recall y - intercept concept

The y - intercept occurs when $x = 0$.

Step2: Substitute $x = 0$ into equation

Substitute $x=0$ into $y=(x - 5)(x + 2)$. Then $y=(0 - 5)(0 + 2)$.

Step3: Calculate the value of $y$

$y=(-5)\times2=-10$. So the y - intercept is the point $(0,-10)$.

Answer:

C. $(0, - 10)$