Answered

Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Get immediate and reliable answers to your questions from a community of experienced professionals on our platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

What is the [tex]\( y \)[/tex]-intercept of the line given by the equation [tex]\( y = 5x - 21 \)[/tex]?

A. [tex]\((0, -21)\)[/tex]
B. [tex]\((0, 21)\)[/tex]
C. [tex]\((0, 5)\)[/tex]
D. [tex]\((0, -5)\)[/tex]

Sagot :

GinnyAnswer
To determine the [tex]\( y \)[/tex]-intercept of the line given by the equation [tex]\( y = 5x - 21 \)[/tex], we need to find the value of [tex]\( y \)[/tex] when [tex]\( x \)[/tex] is [tex]\( 0 \)[/tex].

The [tex]\( y \)[/tex]-intercept is the point where the line crosses the [tex]\( y \)[/tex]-axis. By definition, this occurs when [tex]\( x = 0 \)[/tex].

Let's substitute [tex]\( x = 0 \)[/tex] into the equation:

[tex]\[ y = 5x - 21 \][/tex]

Substituting [tex]\( x = 0 \)[/tex]:

[tex]\[ y = 5(0) - 21 \][/tex]

[tex]\[ y = -21 \][/tex]

Therefore, the [tex]\( y \)[/tex]-intercept is the point [tex]\((0, -21)\)[/tex].

The correct answer is:
A. [tex]\((0, -21)\)[/tex]
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.