Question

determine the y-intercept of the following equation.
(-5x - 15)(2x - 4) = y
answer
(60, 0) (3, 0) and (2, 0)
(0, 60) (0, -3) and (0, 2)
(-3, 0) and (2, 0) (0, -60)

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 given equation.

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

Given the equation \(y=(- 5x - 15)(2x - 4)\), when \(x = 0\), we have:
\(y=(-5\times0 - 15)(2\times0 - 4)\)
First, calculate the values inside the parentheses: \(-5\times0-15=- 15\) and \(2\times0 - 4=-4\)
Then, multiply these two results: \(y=(-15)\times(-4)\)
Since the product of two negative numbers is positive, \((-15)\times(-4) = 60\)
So when \(x = 0\), \(y = 60\), and the y - intercept is the point \((0,60)\)

Answer:

\((0, 60)\)